%!PS %%Version: 3.3.1 %%DocumentFonts: (atend) %%Pages: (atend) %%EndComments % % Version 3.3.1 prologue for troff files. % /#copies 1 store /aspectratio 1 def /formsperpage 1 def /landscape false def /linewidth .3 def /magnification 1 def /margin 0 def /orientation 0 def /resolution 720 def /rotation 1 def /xoffset 0 def /yoffset 0 def /roundpage true def /useclippath true def /pagebbox [0 0 612 792] def /R /Times-Roman def /I /Times-Italic def /B /Times-Bold def /BI /Times-BoldItalic def /H /Helvetica def /HI /Helvetica-Oblique def /HB /Helvetica-Bold def /HX /Helvetica-BoldOblique def /CW /Courier def /CO /Courier def /CI /Courier-Oblique def /CB /Courier-Bold def /CX /Courier-BoldOblique def /PA /Palatino-Roman def /PI /Palatino-Italic def /PB /Palatino-Bold def /PX /Palatino-BoldItalic def /Hr /Helvetica-Narrow def /Hi /Helvetica-Narrow-Oblique def /Hb /Helvetica-Narrow-Bold def /Hx /Helvetica-Narrow-BoldOblique def /KR /Bookman-Light def /KI /Bookman-LightItalic def /KB /Bookman-Demi def /KX /Bookman-DemiItalic def /AR /AvantGarde-Book def /AI /AvantGarde-BookOblique def /AB /AvantGarde-Demi def /AX /AvantGarde-DemiOblique def /NR /NewCenturySchlbk-Roman def /NI /NewCenturySchlbk-Italic def /NB /NewCenturySchlbk-Bold def /NX /NewCenturySchlbk-BoldItalic def /ZD /ZapfDingbats def /ZI /ZapfChancery-MediumItalic def /S /S def /S1 /S1 def /GR /Symbol def /inch {72 mul} bind def /min {2 copy gt {exch} if pop} bind def /setup { counttomark 2 idiv {def} repeat pop landscape {/orientation 90 orientation add def} if /scaling 72 resolution div def linewidth setlinewidth 1 setlinecap pagedimensions xcenter ycenter translate orientation rotation mul rotate width 2 div neg height 2 div translate xoffset inch yoffset inch neg translate margin 2 div dup neg translate magnification dup aspectratio mul scale scaling scaling scale addmetrics 0 0 moveto } def /pagedimensions { useclippath userdict /gotpagebbox known not and { /pagebbox [clippath pathbbox newpath] def roundpage currentdict /roundpagebbox known and {roundpagebbox} if } if pagebbox aload pop 4 -1 roll exch 4 1 roll 4 copy landscape {4 2 roll} if sub /width exch def sub /height exch def add 2 div /xcenter exch def add 2 div /ycenter exch def userdict /gotpagebbox true put } def /addmetrics { /Symbol /S null Sdefs cf /Times-Roman /S1 StandardEncoding dup length array copy S1defs cf } def /pagesetup { /page exch def currentdict /pagedict known currentdict page known and { page load pagedict exch get cvx exec } if } def /decodingdefs [ {counttomark 2 idiv {y moveto show} repeat} {neg /y exch def counttomark 2 idiv {y moveto show} repeat} {neg moveto {2 index stringwidth pop sub exch div 0 32 4 -1 roll widthshow} repeat} {neg moveto {spacewidth sub 0.0 32 4 -1 roll widthshow} repeat} {counttomark 2 idiv {y moveto show} repeat} {neg setfunnytext} ] def /setdecoding {/t decodingdefs 3 -1 roll get bind def} bind def /w {neg moveto show} bind def /m {neg dup /y exch def moveto} bind def /done {/lastpage where {pop lastpage} if} def /f { dup /font exch def findfont exch dup /ptsize exch def scaling div dup /size exch def scalefont setfont linewidth ptsize mul scaling 10 mul div setlinewidth /spacewidth ( ) stringwidth pop def } bind def /changefont { /fontheight exch def /fontslant exch def currentfont [ 1 0 fontheight ptsize div fontslant sin mul fontslant cos div fontheight ptsize div 0 0 ] makefont setfont } bind def /sf {f} bind def /cf { dup length 2 idiv /entries exch def /chtab exch def /newencoding exch def /newfont exch def findfont dup length 1 add dict /newdict exch def {1 index /FID ne {newdict 3 1 roll put}{pop pop} ifelse} forall newencoding type /arraytype eq {newdict /Encoding newencoding put} if newdict /Metrics entries dict put newdict /Metrics get begin chtab aload pop 1 1 entries {pop def} for newfont newdict definefont pop end } bind def % % A few arrays used to adjust reference points and character widths in some % of the printer resident fonts. If square roots are too high try changing % the lines describing /radical and /radicalex to, % % /radical [0 -75 550 0] % /radicalex [-50 -75 500 0] % % Move braceleftbt a bit - default PostScript character is off a bit. % /Sdefs [ /bracketlefttp [201 500] /bracketleftbt [201 500] /bracketrighttp [-81 380] /bracketrightbt [-83 380] /braceleftbt [203 490] /bracketrightex [220 -125 500 0] /radical [0 0 550 0] /radicalex [-50 0 500 0] /parenleftex [-20 -170 0 0] /integral [100 -50 500 0] /infinity [10 -75 730 0] ] def /S1defs [ /underscore [0 80 500 0] /endash [7 90 650 0] ] def % % Tries to round clipping path dimensions, as stored in array pagebbox, so they % match one of the known sizes in the papersizes array. Lower left coordinates % are always set to 0. % /roundpagebbox { 7 dict begin /papersizes [8.5 inch 11 inch 14 inch 17 inch] def /mappapersize { /val exch def /slop .5 inch def /diff slop def /j 0 def 0 1 papersizes length 1 sub { /i exch def papersizes i get val sub abs dup diff le {/diff exch def /j i def} {pop} ifelse } for diff slop lt {papersizes j get} {val} ifelse } def pagebbox 0 0 put pagebbox 1 0 put pagebbox dup 2 get mappapersize 2 exch put pagebbox dup 3 get mappapersize 3 exch put end } bind def %%EndProlog %%BeginSetup mark /xoffset 0 def /yoffset 0 def /#copies 1 store /magnification 1 def %%FormsPerPage: 1 /formsperpage 1 def /landscape false def /resolution 720 def setup 2 setdecoding %%EndSetup %%Page: 1 1 /saveobj save def mark 1 pagesetup 12 B f (Driver PMAIN for DGL[FG][B ])4 1684 1 2038 1220 t 10 I f (David M. Gay)2 568 1 2596 1480 t 10 R f ( variant DGLF\) address robust, maximum-quasi-likelihood, and)6 2697(DGLG \(and it's finite-difference)3 1373 2 970 2056 t (maximum-likelihood regression problems that involve nuisance parameters: for)7 3182 1 720 2211 t 10 I f (x)3927 2211 w 10 S f (=)4020 2211 w (\351)4132 2174 w (\353)4132 2274 w (g)4189 2271 w (b)4182 2171 w (\371)4237 2174 w (\373)4237 2274 w 10 R f (,)4275 2211 w 10 I f (f)2120 2496 w 10 R f (\()2164 2496 w 10 I f (x)2205 2496 w 10 R f (\) :)1 110 1 2257 2496 t 10 S f (=)2383 2496 w 10 I f (f)2495 2496 w 10 R f (\()2539 2496 w 10 S f (b)2580 2496 w 10 R f (,)2643 2496 w 10 S f (g)2676 2496 w 10 R f (\))2725 2496 w 10 S f (=)2815 2496 w 7 I f (i)2919 2596 w 7 S f (=)2955 2596 w 7 R f (1)3005 2596 w 15 S f (S)2935 2526 w 7 I f (n)2962 2396 w 10 S f (r)3081 2496 w 7 I f (i)3147 2516 w 10 R f (\()3183 2496 w 10 S f (h)3224 2496 w 7 I f (i)3295 2516 w 10 R f (\()3331 2496 w 10 S f (b)3372 2496 w 10 R f (\) ,)1 74 1 3435 2496 t 10 S f (g)3517 2496 w 10 R f (\) ,)1 74 1 3566 2496 t (where)720 2756 w 10 S f (b \316)1 167 1 988 2756 t 10 R f (I R)1 84 1 1196 2756 t 7 I f (p)1285 2716 w 10 R f (is the vector of parameters being estimated,)6 1744 1 1353 2756 t 10 S f (h)3123 2756 w 7 I f (i)3194 2776 w 10 R f ( R)1 51(: I)1 102 2 3254 2756 t 7 I f (p)3412 2716 w 10 S f (\256)3496 2756 w 10 R f ( is a model for the)5 729(I R)1 84 2 3603 2756 t 10 I f (i)4442 2756 w 10 R f (th observation)1 570 1 4470 2756 t (\(typically)720 2876 w 10 S f (h)1137 2876 w 7 I f (i)1208 2896 w 10 R f (has the form)2 517 1 1270 2876 t 10 S f (h)1821 2876 w 7 I f (i)1892 2896 w 10 R f (\()1928 2876 w 10 S f (b)1969 2876 w 10 R f (\))2032 2876 w 10 S f (= h)1 164 1 2122 2876 t 10 R f (\()2294 2876 w 10 S f (b)2335 2876 w 10 R f (,)2398 2876 w 10 I f (y)2431 2876 w 7 I f (i)2486 2896 w 10 R f (\), where)1 335 1 2522 2876 t 10 I f (y)2891 2876 w 7 I f (i)2946 2896 w 10 R f (is the)1 223 1 3008 2876 t 10 I f (i)3265 2876 w 10 R f (th observation\), and)2 812 1 3293 2876 t 10 S f (g \316)1 153 1 4138 2876 t 10 R f (I R)1 84 1 4332 2876 t 7 S f (n)4421 2836 w 10 R f (is a vector of)3 542 1 4498 2876 t ( simply-bounded counterparts, DGLGB and)4 1812( of DGLG and DGLF and of their)7 1441( Use)1 218(nuisance parameters.)1 849 4 720 2996 t (DGLFB, is summarized in the accompanying P)6 1974 1 720 3116 t 8 R f (ORT)2694 3116 w 10 R f ( note gives details of my test)6 1216( This)1 240(-style description.)1 729 3 2855 3116 t (program,)720 3236 w 10 CW f (pmain.f)1154 3236 w 10 R f (, and two subroutines,)3 913 1 1574 3236 t 10 CW f (rhpoil.f)2558 3236 w 10 R f (\(for RHO\) and)2 609 1 3074 3236 t 10 CW f (brj.f)3719 3236 w 10 R f ( that this)2 369(\(for CALCRJ\),)1 616 2 4055 3236 t ( latter include several choices of the)6 1495( The)1 215(test program uses.)2 744 3 720 3356 t 10 I f (r)3208 3356 w 10 R f (and)3281 3356 w 10 S f (r)3459 3356 w 10 R f ( pro-)1 200( The)1 214(, described in detail below.)4 1112 3 3514 3356 t ( the menu is:)3 514( Currently)1 433(gram is menu driven; menu item 1 causes the menu to be displayed.)12 2711 3 720 3476 t 10 CW f (1 = LIST MENU)3 780 1 1500 3656 t (2 = READ IV)3 660 1 1500 3776 t (3 = READ V)3 600 1 1500 3896 t (4 = READ ALG: 1 = GLG, 2 = GLF, 3 = GLGB, 4 = GLFB)15 3000 1 1500 4016 t (5 = READ ALL OF X0)5 1080 1 1500 4136 t (6 = COPY X TO X0)5 960 1 1500 4256 t (7 = START)2 540 1 1500 4376 t (8 = CONTINUE)2 720 1 1500 4496 t (9 = READ COMMANDS FROM SPECIFIED FILE)6 2220 1 1500 4616 t (10 = READ PROBLEM)3 1020 1 1500 4736 t (11 = READ RHO)3 780 1 1500 4856 t (12 = READ MODEL)3 900 1 1500 4976 t (13 = CHECK RHO DERIVATIVES)4 1560 1 1500 5096 t (14 = READ P)3 660 1 1500 5216 t (15 = READ X0 COMPONENTWISE)4 1560 1 1500 5336 t (16 = read new Y)4 900 1 1500 5456 t (17 = negate RHO \(negative ==> use weights; see KW = 19\))11 3300 1 1500 5576 t (18 = read KDIAG: 1 = from X*, 2 = from X0, 3 = both)14 3060 1 1500 5696 t (19 = read KW: 1 = RHO", 2 = IRLS, 3 = score, 4 = deviance)15 3420 1 1500 5816 t (20 = READ B \(format i, b\(1,i\), b\(2,i\)\))7 2280 1 1500 5936 t (21,22 = Read,Show RHOI \(componentwise\))4 2280 1 1500 6056 t ( ")1 540(23,24 = Read,Show RHOR)3 1320 2 1500 6176 t (25 = Show range of RHOR components)6 2040 1 1500 6296 t (26,27 = Show IV, V components)5 1740 1 1500 6416 t (28 = Read and echo comment)5 1560 1 1500 6536 t (READ IV)1 422 1 970 6692 t 10 R f (reads pairs of integers \()4 944 1 1419 6692 t 10 I f (i)2363 6692 w 10 R f (,)2391 6692 w 10 I f (j)2443 6692 w 10 R f (\) and sets IV\()3 546 1 2471 6692 t 10 I f (i)3017 6692 w 10 R f (\) :=)1 144 1 3045 6692 t 10 I f (j)3216 6692 w 10 R f (until)3271 6692 w 10 I f (i)3482 6692 w 10 S f (\243)3537 6692 w 10 R f ( is for overriding default IV)5 1116(0. This)1 305 2 3619 6692 t (values.)720 6812 w 10 CW f (READ V)1 370 1 970 6968 t 10 R f (reads pairs of numbers \()4 1004 1 1375 6968 t 10 I f (i)2379 6968 w 10 R f (,)2407 6968 w 10 S f (s)2467 6968 w 10 R f (\) \()1 101 1 2527 6968 t 10 I f (i)2628 6968 w 10 R f (an integer,)1 431 1 2691 6968 t 10 S f (s)3157 6968 w 10 R f (a floating-point number\) and sets V\()5 1511 1 3252 6968 t 10 I f (i)4763 6968 w 10 R f (\) :=)1 153 1 4791 6968 t 10 S f (s)4980 6968 w 10 R f (until)720 7088 w 10 I f (i)929 7088 w 10 S f (\243)982 7088 w 10 R f ( is for overriding default V values.)6 1378(0. This)1 303 2 1062 7088 t 10 CW f (READ ALG)1 480 1 970 7244 t 10 R f (reads an integer that tells which solver to invoke.)8 1961 1 1475 7244 t ( 18:34:02)1 1772( 16, 1991)2 375( September)1 1307(DRAFT for comment)2 866 4 720 7680 t cleartomark showpage saveobj restore %%EndPage: 1 1 %%Page: 2 2 /saveobj save def mark 2 pagesetup 10 R f (- 2 -)2 166 1 2797 480 t 10 CW f (READ ALL OF X0)3 840 1 970 875 t 10 R f (lets you specify an alternate starting guess)6 1686 1 1835 875 t 10 I f (x)3546 875 w 10 S f (\260 =)1 144 1 3598 875 t (\351)3799 838 w (\353)3799 938 w (g \260)1 89 1 3856 935 t (b \260)1 103 1 3849 835 t (\371)3952 838 w (\373)3952 938 w 10 R f (.)3990 875 w 10 CW f (COPY X TO X0)3 720 1 970 1086 t 10 R f (copies the current)2 709 1 1715 1086 t 10 I f (x)2449 1086 w 10 R f (vector to)1 352 1 2518 1086 t 10 I f (x)2895 1086 w 10 S f (\260)2947 1086 w 10 R f (for use in a subsequent)4 915 1 3012 1086 t 10 CW f (START)3952 1086 w 10 R f (.)4252 1086 w 10 CW f (START)970 1242 w 10 R f (starts the algorithm from scratch \(from)5 1550 1 1295 1242 t 10 I f (x)2870 1242 w 10 S f (\260)2922 1242 w 10 R f (\).)2962 1242 w 10 CW f (CONTINUE)970 1398 w 10 R f ( the current)2 496(continues the iteration where it left off \(from)7 1928 2 1495 1398 t 10 I f (x)3965 1398 w 10 R f ( you have)2 430(\). Presumably)1 601 2 4009 1398 t (altered one or more IV or V components.)7 1646 1 720 1518 t 10 CW f ( FILE)1 308(READ COMMANDS FROM SPECIFIED)3 1701 2 970 1674 t 10 R f (must be followed by the name of an input file on)10 2028 1 3012 1674 t ( exhausted, after which)3 955(the next input line; further commands are read from this new input file until it is)15 3365 2 720 1794 t ( input diversions can be nested to a maxi-)8 1747( These)1 299( file.)1 194(command reading resumes with the previous input)6 2080 4 720 1914 t (mum depth of 5.)3 661 1 720 2034 t 10 CW f (READ PROBLEM)1 732 1 970 2190 t 10 R f ( this)1 183( If)1 129( name of a problem input file on the next input line.)11 2208(expects to read the)3 781 4 1739 2190 t (name is)1 311 1 720 2310 t 10 CW f (-)1059 2310 w 10 R f ( problem file,)2 545( The)1 207( sign\), then the problem is read from the current input file.)11 2349(\(i.e., a single minus)3 792 4 1147 2310 t (in turn, starts with)3 728 1 720 2430 t ( one-line description of the data set;)6 1431(1. a)1 169 2 936 2550 t ( line containing 8 integers \(format 8I4\):)6 1581(2. a)1 169 2 936 2670 t (2.1)1080 2790 w 10 I f (n)1255 2790 w 10 R f (, the number of observations;)4 1168 1 1305 2790 t (2.2)1080 2910 w 10 I f (p)1255 2910 w 10 R f (, the number of parameters, i.e.,)5 1269 1 1305 2910 t 10 I f (x)2599 2910 w 10 R f (components, including the nuisance parameters;)4 1922 1 2668 2910 t (2.3)1080 3030 w 10 I f (k)1255 3030 w 7 S f (h)1310 3050 w 10 R f (, the choice of)3 565 1 1360 3030 t 10 S f (h)1950 3030 w 10 R f (, described below;)2 729 1 2010 3030 t (2.4)1080 3150 w 10 I f (m)1255 3150 w 10 R f (, the number of extra data per observation \(beyond)8 2020 1 1327 3150 t 10 I f (y)3372 3150 w 7 I f (i)3427 3170 w 10 R f (and)3480 3150 w 10 I f (c)3649 3150 w 7 I f (i)3704 3170 w 10 R f (\) to read;)2 360 1 3732 3150 t (2.5)1080 3270 w 10 I f (k)1255 3270 w 7 S f (r)1310 3290 w 10 R f (the choice of)2 515 1 1382 3270 t 10 S f (r)1922 3270 w 10 R f (, described below;)2 729 1 1977 3270 t (2.6)1080 3390 w 10 I f (dummy)1255 3390 w 10 R f (\(ignored; for compatibility with Frome's data format\);)6 2170 1 1568 3390 t (2.7)1080 3510 w 10 I f (dummy)1255 3510 w 10 R f (\(ignored; for compatibility with Frome's data format\);)6 2170 1 1568 3510 t (2.8)1080 3630 w 10 I f (p)1255 3630 w 7 I f (S)1316 3650 w 10 R f (\(the number of non-nuisance parameters; if)5 1726 1 1384 3630 t 10 I f (p)3135 3630 w 7 I f (S)3196 3650 w 10 R f (is read as 0, then)4 668 1 3264 3630 t 10 I f (p)3957 3630 w 7 I f (S)4018 3650 w 10 R f (is set to)2 306 1 4086 3630 t 10 I f (p)4417 3630 w 10 R f (\).)4467 3630 w (3. For)1 269 1 936 3750 t 10 I f (k)1235 3750 w 7 S f (h)1290 3770 w 10 S f (>)1389 3750 w 10 R f ( guess)1 253(2, the initial)2 491 2 1493 3750 t 10 I f (x)2268 3750 w 10 S f (\260)2320 3750 w 10 R f (; for)1 175 1 2360 3750 t 10 I f (k)2566 3750 w 7 S f (h)2621 3770 w 10 S f (\243)2712 3750 w 10 R f (2 and)1 225 1 2808 3750 t 10 I f (p)3064 3750 w 7 I f (S)3125 3770 w 10 S f (<)3217 3750 w 10 I f (p)3321 3750 w 10 R f (, the initial guess)3 696 1 3371 3750 t 10 I f (x)4098 3750 w 10 S f (\260)4150 3750 w 7 I f (p)4161 3770 w 4 I f (S)4202 3784 w 7 S f (+)4238 3770 w 7 R f (1 ,)1 58 1 4288 3770 t (. . .)2 90 1 4369 3753 t (,)4482 3770 w 7 I f (p)4505 3770 w 10 R f (for the nui-)2 461 1 4579 3750 t (sance parameters.)1 708 1 936 3884 t (4. A)1 197 1 936 4004 t 10 CW f (FORMAT)1158 4004 w 10 R f (for reading the next)3 784 1 1543 4004 t 10 I f (n)2352 4004 w 10 R f (lines.)2427 4004 w 10 S f (*)936 4124 w 10 R f (.)986 4124 w 10 I f (n)1068 4124 w 10 R f (data lines giving)2 675 1 1150 4124 t 10 I f (y)1857 4124 w 7 I f (i)1912 4144 w 10 R f (,)1940 4124 w 10 I f (c)1998 4124 w 7 I f (i)2053 4144 w 10 R f (, and)1 202 1 2081 4124 t 10 I f (A)2316 4124 w 7 I f (i)2388 4144 w 7 R f (,)2413 4144 w 7 I f (j)2442 4144 w 10 R f (, 1)1 108 1 2470 4124 t 10 S f (\243)2611 4124 w 10 I f (j)2699 4124 w 10 S f (\243)2760 4124 w 10 I f (m)2848 4124 w 10 R f ( matrix)1 294(. The)1 238 2 2920 4124 t 10 I f (A)3485 4124 w 7 I f (T)3557 4084 w 10 R f (thus defined is passed to BRJ \(the)6 1403 1 3637 4124 t (CALCRJ subroutine\) as UR, while the \()6 1722 1 720 4244 t 10 I f (y)2442 4244 w 7 I f (i)2497 4264 w 10 R f (,)2525 4244 w 10 I f (c)2595 4244 w 7 I f (i)2650 4264 w 10 R f (\) pairs are passed to RHPOIL \(the RHO subroutine\) as)9 2362 1 2678 4244 t (RHOR.)720 4364 w 10 CW f (READ RHO)1 480 1 970 4520 t 10 R f (causes a new)2 520 1 1475 4520 t 10 I f (k)2020 4520 w 7 S f (r)2075 4540 w 10 R f (to be read from the next input line.)7 1387 1 2147 4520 t 10 CW f (READ MODEL)1 600 1 970 4676 t 10 R f (causes a new)2 520 1 1595 4676 t 10 I f (k)2140 4676 w 7 S f (h)2195 4696 w 10 R f (to be read from the next input line.)7 1387 1 2270 4676 t 10 CW f (CHECK RHO DERIVATIVES)2 1262 1 970 4832 t 10 R f ( forget whether it copes with nuisance parame-)7 1884( I)1 84(is a debugging item.)3 814 3 2258 4832 t (ters.)720 4952 w 10 CW f (READ P)1 360 1 970 5108 t 10 R f (causes a new)2 520 1 1355 5108 t 10 I f (p)1900 5108 w 10 R f (to be read from the next input line.)7 1387 1 1975 5108 t 10 CW f (READ X0 COMPONENTWISE)2 1260 1 970 5264 t 10 R f (reads pairs \()2 487 1 2255 5264 t 10 I f (i)2742 5264 w 10 R f (,)2770 5264 w 10 S f (s)2820 5264 w 10 R f (\) and sets)2 377 1 2880 5264 t 10 I f (x)3282 5264 w 10 S f (\260)3334 5264 w 7 I f (i)3385 5284 w 10 R f (:=)3438 5264 w 10 S f (s)3547 5264 w 10 R f (until)3632 5264 w 10 I f (i)3841 5264 w 10 S f (\243)3894 5264 w 10 R f (0.)3974 5264 w 10 CW f (read new Y)2 614 1 970 5420 t 10 R f (causes new \()2 523 1 1616 5420 t 10 I f (y)2139 5420 w 7 I f (i)2194 5440 w 10 R f (,)2222 5420 w 10 I f (c)2279 5420 w 7 I f (i)2334 5440 w 10 R f (\) values to be read \(under the previously read)8 1870 1 2362 5420 t 10 CW f (FORMAT)4265 5420 w 10 R f (\) from the)2 415 1 4625 5420 t (next)720 5540 w 10 I f (n)917 5540 w 10 R f (input lines.)1 445 1 992 5540 t 10 CW f (negate RHO)1 606 1 970 5696 t 10 R f (causes)1607 5696 w 10 I f (k)1898 5696 w 7 S f (r)1953 5716 w 10 R f (:)2041 5696 w 10 S f (= -)1 167 1 2085 5696 t 10 I f (k)2268 5696 w 7 S f (r)2323 5716 w 10 R f ( values of)2 402(; for some)2 417 2 2370 5696 t 10 S f (\357)3221 5713 w 10 I f (k)3269 5696 w 7 S f (r)3324 5716 w 10 S f (\357)3371 5713 w 10 R f (\(those for which I knew the appropriate)6 1621 1 3419 5696 t 10 I f (w)720 5816 w 10 R f (\),)787 5816 w 10 I f (k)890 5816 w 7 S f (r)945 5836 w 10 S f (<)1037 5816 w 10 R f (0 causes Roy's choice of the Gauss-Newton model, i.e.,)8 2389 1 1137 5816 t 10 I f (J)3571 5816 w 7 I f (T)3626 5776 w 10 R f (diag \()1 213 1 3681 5816 t 10 I f (w)3902 5816 w 10 R f (\))3977 5816 w 10 I f (J)4026 5816 w 10 R f ( of)1 127(, to be used instead)4 843 2 4070 5816 t 10 I f (J)720 6036 w 7 I f (T)775 5996 w 10 R f (diag \()1 213 1 830 6036 t 10 S f (\266 h)1 117 1 1076 6116 t 7 I f (i)1198 6135 w 7 R f (2)1198 6076 w 10 S f (\266)1079 5976 w 7 R f (2)1133 5936 w 10 S f (r)1184 5976 w 10 S1 f (_ ___)1 195 1 1062 6006 t 10 R f (\))1275 6036 w 10 I f (J)1324 6036 w 10 R f (.)1368 6036 w 10 CW f (read KDIAG)1 608 1 970 6272 t 10 R f ( iterated leave-one-out diagnostics with approxi-)5 1983(is for comparing one-step and fully)5 1446 2 1611 6272 t ( real testing rou-)3 657( [The)1 238( finite-difference Hessian approximation\).)3 1679(mations based on a quadratic model \(with a)7 1746 4 720 6392 t (tine, louchk.c, is written in C and is not included in the Fortran-only version of this test program.])17 3906 1 720 6512 t 10 CW f (read KW)1 420 1 970 6668 t 10 R f (specifies the choice of diagonal matrix)5 1544 1 1415 6668 t 10 S f (\341)2984 6668 w 10 I f (w)3025 6668 w 10 S f (\361)3100 6668 w 10 R f (used in the Gauss-Newton Hessian approxima-)5 1882 1 3158 6668 t (tion)720 6788 w 10 I f (J)901 6788 w 7 I f (T)956 6748 w 10 S f (\341)1011 6788 w 10 I f (w)1052 6788 w 10 S f (\361)1127 6788 w 10 I f (J)1168 6788 w 10 R f (.)1212 6788 w 10 CW f (READ B)1 368 1 970 6944 t 10 R f ( bounds passed to DGLFB and)5 1275(permits setting selected components of the array of simple)8 2394 2 1371 6944 t ( all lower bounds are)4 837(DGLGB. Initially)1 736 2 720 7064 t 10 S f (- \245)1 144 1 2318 7064 t 10 R f (and all upper bounds are)4 981 1 2487 7064 t 10 S f (+ \245)1 144 1 3493 7064 t 10 R f (.)3637 7064 w 10 CW f (Read,Show RHOI/RHOR \(componentwise\))2 2108 1 970 7220 t 10 R f (and)3107 7220 w 10 CW f (Show range of RHOR components)4 1760 1 3280 7220 t 10 R f ( 18:34:02)1 1772( 16, 1991)2 375( September)1 1307(DRAFT for comment)2 866 4 720 7680 t cleartomark showpage saveobj restore %%EndPage: 2 2 %%Page: 3 3 /saveobj save def mark 3 pagesetup 10 R f (- 3 -)2 166 1 2797 480 t (are occasionally useful for debugging or playing with block or fractional regression diagnostics.)12 3835 1 720 840 t 10 CW f (Show IV, V components)3 1260 1 970 996 t 10 R f (are mainly for debugging.)3 1037 1 2255 996 t 10 CW f (Read and echo comment)3 1260 1 970 1152 t 10 R f (may be useful in input scripts that solve several problems.)9 2320 1 2255 1152 t 10 B f (Models)720 1392 w 10 S f (h)1056 1392 w 10 BI f (\()1124 1392 w 10 S f (b)1165 1392 w 10 BI f (\))1228 1392 w 10 R f (Choices for)1 463 1 970 1548 t 10 I f (k)1458 1548 w 7 S f (h)1513 1568 w 10 R f (include:)1588 1548 w (\(1\))720 1792 w 10 I f (Linear)1080 1792 w 10 R f (:)1347 1792 w 10 S f (h)1425 1792 w 7 I f (i)1496 1812 w 10 R f (\()1532 1792 w 10 S f (b)1573 1792 w 10 R f (\))1636 1792 w 10 S f (=)1726 1792 w 10 I f (A)1830 1792 w 7 I f (i)1902 1812 w 10 S f (b =)1 159 1 1938 1792 t 7 I f (j)2148 1892 w 7 S f (=)2179 1892 w 7 R f (1)2229 1892 w 15 S f (S)2162 1822 w 7 I f (p)2174 1678 w 4 I f (S)2215 1692 w 10 I f (A)2267 1792 w 7 I f (i)2339 1812 w 7 R f (,)2364 1812 w 7 I f (j)2393 1812 w 10 S f (b)2429 1792 w 7 I f (j)2495 1812 w 10 R f (.)2523 1792 w (\(2\))720 2116 w 10 I f (Log-linear)1080 2116 w 10 R f (:)1508 2116 w 10 S f (h)1586 2116 w 7 I f (i)1657 2136 w 10 R f (\()1693 2116 w 10 S f (b)1734 2116 w 10 R f (\))1797 2116 w 10 S f (=)1887 2116 w 10 R f (exp \()1 185 1 1991 2116 t 10 I f (A)2184 2116 w 7 I f (i)2256 2136 w 10 S f (b)2292 2116 w 10 R f (\))2355 2116 w 10 S f (=)2445 2116 w 10 R f (exp \()1 185 1 2549 2116 t 7 I f (j)2744 2216 w 7 S f (=)2775 2216 w 7 R f (1)2825 2216 w 15 S f (S)2758 2146 w 7 I f (p)2770 2002 w 4 I f (S)2811 2016 w 10 I f (A)2863 2116 w 7 I f (i)2935 2136 w 7 R f (,)2960 2136 w 7 I f (j)2989 2136 w 10 S f (b)3025 2116 w 7 I f (j)3091 2136 w 10 R f (\).)3127 2116 w (\(3\))720 2376 w 10 I f (Log of \(4\))2 400 1 1080 2376 t 10 R f (.)1480 2376 w (\(4\))720 2556 w 10 I f (Nonlinear Poisson model from Frome's PREG manual)6 2199 1 1080 2556 t 10 R f (.)3279 2556 w (\(5\))720 2736 w 10 I f (Caesium dose effect model \(2.6 of [Frome, 1984]\))7 2006 1 1080 2736 t 10 R f (.)3086 2736 w (\(6\))720 2916 w 10 I f (Lung cancer model \(2.8 of [Frome, 1984]\))6 1709 1 1080 2916 t 10 R f (.)2789 2916 w (\(7\))720 3156 w 10 I f (Logistic of linear)2 690 1 1080 3156 t 10 R f (:)1770 3156 w 10 S f (h)1848 3156 w 7 I f (i)1919 3176 w 10 R f (\()1955 3156 w 10 S f (b)1996 3156 w 10 R f (\))2059 3156 w 10 S f (=)2149 3156 w 10 R f (1)2278 3226 w 10 S f (+)2377 3226 w 10 R f (exp \()1 185 1 2481 3226 t 10 I f (A)2674 3226 w 7 I f (i)2746 3246 w 10 S f (b)2782 3226 w 10 R f (\))2845 3226 w (exp \()1 185 1 2380 3076 t 10 I f (A)2573 3076 w 7 I f (i)2645 3096 w 10 S f (b)2681 3076 w 10 R f (\))2744 3076 w 10 S1 f (_ ____________)1 630 1 2264 3126 t 10 R f (.)2904 3156 w (\(8\))720 3406 w 10 I f (Exp-linear)1080 3406 w 10 R f (:)1507 3406 w 10 S f (h)1585 3406 w 7 I f (i)1656 3426 w 10 R f (\()1692 3406 w 10 I f (x)1733 3406 w 10 R f (\))1785 3406 w 10 S f (=)1875 3406 w 10 R f (log \()1 169 1 1979 3406 t 10 I f (A)2156 3406 w 7 I f (i)2228 3426 w 10 S f (b)2264 3406 w 10 R f (\).)2327 3406 w (\(9\))720 3586 w 10 I f (Model from p. 204\2615 of [McCullagh and Nelder])7 1972 1 1080 3586 t 10 R f (:)3052 3586 w 10 S f (h)1962 3826 w 7 I f (i)2033 3846 w 10 R f (\()2069 3826 w 10 S f (b)2110 3826 w 10 R f (\))2173 3826 w 10 S f (= b)1 159 1 2263 3826 t 7 R f (1)2433 3846 w 10 S f (+ b)1 159 1 2525 3826 t 7 R f (2)2695 3846 w 10 R f (log \()1 169 1 2746 3826 t 10 I f (A)2923 3826 w 7 I f (i)2995 3846 w 7 R f (, 1)1 58 1 3020 3846 t 10 R f (\))3094 3826 w 10 S f (+)3184 3826 w (b)3313 3896 w 7 R f (4)3379 3916 w 10 S f (+)3471 3896 w 10 I f (A)3575 3896 w 7 I f (i)3647 3916 w 7 R f (, 2)1 58 1 3672 3916 t 10 S f (b)3386 3746 w 7 R f (3)3452 3766 w 10 I f (A)3503 3746 w 7 I f (i)3575 3766 w 7 R f (, 2)1 58 1 3600 3766 t 10 S1 f (_ _________)1 455 1 3299 3796 t 10 I f (.)3772 3826 w 10 R f (In this case,)2 474 1 1080 4076 t 10 I f (m)1579 4076 w 10 S f (=)1700 4076 w 10 R f (2.)1804 4076 w (\(10\))720 4256 w 10 I f (Model from p. 205\2616 of [McCullagh and Nelder])7 1972 1 1080 4256 t 10 R f (:)3052 4256 w 10 S f (h)1831 4496 w 7 I f (i)1902 4516 w 10 R f (\()1938 4496 w 10 S f (b)1979 4496 w 10 R f (\))2042 4496 w 10 S f (= b)1 159 1 2132 4496 t 7 R f (1)2302 4516 w 10 S f (+ b)1 159 1 2394 4496 t 7 R f (2)2564 4516 w 10 R f (log \()1 169 1 2615 4496 t 10 I f (A)2792 4496 w 7 I f (i)2864 4516 w 7 R f (, 1)1 58 1 2889 4516 t 10 S f (- b)1 159 1 3004 4496 t 7 R f (5)3174 4516 w 10 R f (\))3225 4496 w 10 S f (+)3315 4496 w (b)3444 4566 w 7 R f (4)3510 4586 w 10 S f (+)3602 4566 w 10 I f (A)3706 4566 w 7 I f (i)3778 4586 w 7 R f (, 2)1 58 1 3803 4586 t 10 S f (b)3517 4416 w 7 R f (3)3583 4436 w 10 I f (A)3634 4416 w 7 I f (i)3706 4436 w 7 R f (, 2)1 58 1 3731 4436 t 10 S1 f (_ _________)1 455 1 3430 4466 t 10 R f (,)3903 4496 w (where once again)2 697 1 1080 4746 t 10 I f (m)1802 4746 w 10 S f (=)1923 4746 w 10 R f (2.)2027 4746 w (\(11\))720 4926 w 10 I f (Model from p. 202 of [McCullagh and Nelder])7 1872 1 1080 4926 t 10 R f (:)2952 4926 w 10 S f (h)2155 5166 w 7 I f (i)2226 5186 w 10 R f (\()2262 5166 w 10 S f (b)2303 5166 w 10 R f (\))2366 5166 w 10 S f (= b)1 159 1 2456 5166 t 7 R f (1)2626 5186 w 10 S f (+)2718 5166 w 7 I f (j)2824 5266 w 7 S f (=)2855 5266 w 7 R f (1)2905 5266 w 15 S f (S)2838 5196 w 7 R f (3)2865 5066 w 10 S f (a)3000 5236 w 7 I f (i)3074 5256 w 7 R f (,)3099 5256 w 7 I f (j)3128 5256 w 10 S f (+ b)1 159 1 3205 5236 t 7 R f (2)3375 5256 w 7 I f (j)3421 5256 w 7 S f (+)3452 5256 w 7 R f (1)3502 5256 w 10 S f (b)3203 5086 w 7 R f (2)3269 5106 w 7 I f (j)3315 5106 w 10 S1 f (_ ___________)1 575 1 2986 5136 t 10 I f (.)3579 5166 w 10 B f (Loss Functions)1 643 1 1080 5546 t 10 S f (r)1748 5546 w 7 BI f (i)1814 5566 w 10 BI f (\()1850 5546 w 10 S f (h)1891 5546 w 7 BI f (i)1962 5566 w 10 BI f (,)1998 5546 w 10 S f (g)2064 5546 w 10 BI f (\))2113 5546 w 10 R f (Choices for)1 463 1 1330 5702 t 10 I f (k)1818 5702 w 7 S f (r)1873 5722 w 10 R f (include:)1945 5702 w (\(1\))720 5952 w 10 I f (IRLS Poisson)1 559 1 1080 5952 t 10 R f (:)1639 5952 w 10 S f (m = h)2 271 1 1734 5952 t 10 R f (:)2005 5952 w 10 S f (r)2100 5952 w 7 I f (i)2166 5972 w 10 R f (\()2202 5952 w 10 S f (h)2243 5952 w 10 R f (\))2311 5952 w 10 S f (=)2401 5952 w 10 I f (c)2505 5952 w 7 I f (i)2560 5972 w 10 S f (h -)1 164 1 2596 5952 t 10 I f (y)2809 5952 w 7 I f (i)2864 5972 w 10 R f (log \()1 169 1 2900 5952 t 10 S f (h)3077 5952 w 10 R f (\), but we lie about)4 792 1 3145 5952 t 10 S f (\266 h)1 117 1 4021 6032 t 7 R f (2)4143 5992 w 10 S f (\266)4004 5872 w 7 R f (2)4058 5832 w 10 S f (r)4109 5872 w 7 I f (i)4175 5892 w 10 S1 f (_ ____)1 229 1 3989 5922 t 10 R f ( use the IRLS)3 601(: we)1 211 2 4228 5952 t (weights)1080 6202 w 10 I f (w)1416 6202 w 7 I f (i)1494 6222 w 10 S f (=)1571 6202 w 10 I f (c)1675 6202 w 7 I f (i)1730 6222 w 10 I f (/)1766 6202 w 10 S f (h)1802 6202 w 10 R f (instead of)1 391 1 1887 6202 t 10 S f (\266 h)1 117 1 2345 6282 t 7 R f (2)2467 6242 w 10 S f (\266)2328 6122 w 7 R f (2)2382 6082 w 10 S f (r)2433 6122 w 7 I f (i)2499 6142 w 10 S1 f (_ ____)1 229 1 2313 6172 t 10 R f (for both RD\()2 516 1 2577 6202 t 10 I f (i)3093 6202 w 10 R f ( and W\()2 321(, 1\))1 116 2 3129 6202 t 10 I f (i)3566 6202 w 10 R f (\).)3594 6202 w (\(2\))720 6512 w 10 I f (Poisson)1080 6512 w 10 R f (: Again)1 331 1 1397 6512 t 10 S f (r)1762 6512 w 7 I f (i)1828 6532 w 10 R f (\()1864 6512 w 10 S f (h)1905 6512 w 10 R f (\))1973 6512 w 10 S f (=)2063 6512 w 10 I f (c)2167 6512 w 7 I f (i)2222 6532 w 10 S f (h -)1 164 1 2258 6512 t 10 I f (y)2471 6512 w 7 I f (i)2526 6532 w 10 R f (log \()1 169 1 2562 6512 t 10 S f (h)2739 6512 w 10 R f ( we supply the true)4 800(\), but now)2 426 2 2807 6512 t 10 S f (\266 h)1 117 1 4110 6592 t 7 R f (2)4232 6552 w 10 S f (\266)4093 6432 w 7 R f (2)4147 6392 w 10 S f (r)4198 6432 w 7 I f (i)4264 6452 w 10 S1 f (_ ____)1 229 1 4078 6482 t 10 R f (for both RD\()2 536 1 4352 6512 t 10 I f (i)4888 6512 w 10 R f (, 1\))1 116 1 4924 6512 t (and W\()1 296 1 1080 6692 t 10 I f (i)1376 6692 w 10 R f (\).)1404 6692 w (\(\2612\))720 6942 w 10 I f (Poisson with IRLS GN model)4 1173 1 1080 6942 t 10 R f ( W\()1 177( is a mixture of \(1\) and \(2\):)7 1084(: This)1 256 3 2253 6942 t 10 I f (i)3770 6942 w 10 R f (\) =)1 114 1 3798 6942 t 10 I f (w)3937 6942 w 7 I f (i)4015 6962 w 10 R f (and RD\()1 341 1 4068 6942 t 10 I f (i)4409 6942 w 10 R f ( =)1 81(, 1\))1 116 2 4445 6942 t 10 S f (\266 h)1 117 1 4709 7022 t 7 R f (2)4831 6982 w 10 S f (\266)4692 6862 w 7 R f (2)4746 6822 w 10 S f (r)4797 6862 w 7 I f (i)4863 6882 w 10 S1 f (_ ____)1 229 1 4677 6912 t 10 R f (.)4916 6942 w ( 18:34:02)1 1772( 16, 1991)2 375( September)1 1307(DRAFT for comment)2 866 4 720 7680 t cleartomark showpage saveobj restore %%EndPage: 3 3 %%Page: 4 4 /saveobj save def mark 4 pagesetup 10 R f (- 4 -)2 166 1 2797 480 t (\(3\))720 840 w 10 I f (Log Linear Poisson)2 790 1 1080 840 t 10 R f (:)1870 840 w 10 S f (r)1948 840 w 7 I f (i)2014 860 w 10 R f (\()2050 840 w 10 S f (h)2091 840 w 10 R f (\))2159 840 w 10 S f (=)2249 840 w 10 I f (c)2353 840 w 7 I f (i)2408 860 w 10 R f (exp \()1 185 1 2444 840 t 10 S f (h)2637 840 w 10 R f (\))2705 840 w 10 S f (-)2795 840 w 10 I f (y)2899 840 w 7 I f (i)2954 860 w 10 S f (h)2990 840 w 10 R f (.)3050 840 w (\(\2613\))720 1020 w 10 I f (IRLS GN = No change)4 912 1 1080 1020 t 10 R f (:)1992 1020 w 10 S f (m =)1 162 1 2070 1020 t 10 R f (exp \()1 185 1 2281 1020 t 10 S f (h)2474 1020 w 10 R f (\) ==)1 170 1 2542 1020 t 10 S f (>)2712 1020 w 10 I f (w)2792 1020 w 7 I f (i)2870 1040 w 10 S f (=)2947 1020 w 10 I f (c)3051 1020 w 7 I f (i)3106 1040 w 10 R f (exp \()1 185 1 3166 1020 t 10 S f (h)3359 1020 w 10 R f (\) ==)1 170 1 3427 1020 t 10 S f (>)3597 1020 w 10 R f (IRLS GN =)2 467 1 3677 1020 t 10 S f (r \242 \242)2 121 1 4169 1020 t 10 R f (GN.)4315 1020 w (\(4\))720 1200 w 10 I f (Square-root Linear for Poisson)3 1259 1 1080 1200 t 10 R f (:)2339 1200 w 10 S f (r)2417 1200 w 7 I f (i)2483 1220 w 10 R f (\()2519 1200 w 10 S f (h)2560 1200 w 10 R f (\))2628 1200 w 10 S f (=)2718 1200 w 10 I f (c)2822 1200 w 7 I f (i)2877 1220 w 10 S f (h)2913 1200 w 7 R f (2)2978 1160 w 10 S f (-)3070 1200 w 10 R f (2)3174 1200 w 10 I f (y)3232 1200 w 7 I f (i)3287 1220 w 10 R f (log)3323 1200 w 10 S f (h)3459 1200 w 10 R f (.)3519 1200 w (\(\2614\))720 1380 w 10 I f (IRLS)1080 1380 w 10 R f (:)1280 1380 w 10 S f (m = h)2 271 1 1358 1380 t 7 R f (2)1634 1340 w 10 R f (==)1702 1380 w 10 S f (>)1814 1380 w 10 I f (w)1894 1380 w 7 I f (i)1972 1400 w 10 S f (=)2049 1380 w 10 R f (4)2153 1380 w 10 I f (c)2211 1380 w 7 I f (i)2266 1400 w 10 R f (.)2294 1380 w (\(5\))720 1560 w 10 I f (Binomial IRLS)1 606 1 1080 1560 t 10 R f (:)1686 1560 w 10 S f (m = h)2 271 1 1778 1560 t 10 R f (:)2049 1560 w 10 S f (r)2141 1560 w 7 I f (i)2207 1580 w 10 R f (\()2243 1560 w 10 S f (h)2284 1560 w 10 R f (\))2352 1560 w 10 S f (= -)1 167 1 2442 1560 t 10 I f (y)2625 1560 w 7 I f (i)2680 1580 w 10 R f (log \()1 169 1 2716 1560 t 10 S f (h)2893 1560 w 10 R f (\))2961 1560 w 10 S f (-)3051 1560 w 10 R f (\()3155 1560 w 10 I f (c)3196 1560 w 7 I f (i)3251 1580 w 10 S f (-)3319 1560 w 10 I f (y)3414 1560 w 7 I f (i)3469 1580 w 10 R f ( \( 1)2 99(\) log)1 177 2 3505 1560 t 10 S f (- h)1 155 1 3821 1560 t 10 R f (\), with RD\()2 486 1 3984 1560 t 10 I f (i)4470 1560 w 10 R f ( = W\()2 261(, 1\))1 116 2 4506 1560 t 10 I f (i)4883 1560 w 10 R f (\) =)1 129 1 4911 1560 t (IRLS weight =)2 595 1 1080 1680 t 10 S f (h)1700 1680 w 7 S f (-)1771 1640 w 7 R f (1)1821 1640 w 10 R f (\( 1)1 91 1 1872 1680 t 10 S f (- h)1 155 1 2003 1680 t 10 R f (\))2166 1680 w 7 S f (-)2210 1640 w 7 R f (1)2260 1640 w 10 R f (.)2303 1680 w (\(6\))720 1930 w 10 I f (Binomial)1080 1930 w 10 R f (:)1447 1930 w 10 S f (r)1525 1930 w 7 I f (i)1591 1950 w 10 R f (as for \(5\), but RD\()4 740 1 1644 1930 t 10 I f (i)2384 1930 w 10 R f ( = W\()2 233(, 1\))1 116 2 2420 1930 t 10 I f (i)2769 1930 w 10 R f (\) =)1 114 1 2797 1930 t 10 S f (\266 h)1 117 1 2978 2010 t 7 R f (2)3100 1970 w 10 S f (\266)2961 1850 w 7 R f (2)3015 1810 w 10 S f (r)3066 1850 w 7 I f (i)3132 1870 w 10 S1 f (_ ____)1 229 1 2946 1900 t 10 R f (.)3185 1930 w (\(\2616\))720 2170 w 10 I f (Binomial with IRLS GN model)4 1223 1 1080 2170 t 10 R f ( is a mixture of \(5\) and \(6\), analogous to \(\2612\).)10 1830(: This)1 256 2 2303 2170 t (\(7\))720 2350 w 10 I f (Binomial Logistic)1 715 1 1080 2350 t 10 R f (:)1795 2350 w 10 S f (r)1873 2350 w 7 I f (i)1939 2370 w 10 R f (\()1975 2350 w 10 S f (h)2016 2350 w 10 R f (\))2084 2350 w 10 S f (=)2174 2350 w 10 I f (c)2278 2350 w 7 I f (i)2333 2370 w 10 R f (log \( 1)2 227 1 2369 2350 t 10 S f (+)2645 2350 w 10 I f (e)2749 2350 w 7 S f (h)2804 2310 w 10 R f (\))2862 2350 w 10 S f (-)2952 2350 w 10 I f (y)3056 2350 w 7 I f (i)3111 2370 w 10 S f (h)3147 2350 w 10 R f (.)3207 2350 w (\(\2617\))720 2580 w 10 I f (IRLS GN = No change)4 912 1 1080 2580 t 10 R f (:)1992 2580 w 10 S f (m =)1 162 1 2070 2580 t 10 R f (1)2306 2650 w 10 S f (+)2405 2650 w 10 R f (exp \()1 185 1 2509 2650 t 10 S f (h)2702 2650 w 10 R f (\))2770 2650 w (exp \()1 185 1 2408 2520 t 10 S f (h)2601 2520 w 10 R f (\))2669 2520 w 10 S1 f (_ __________)1 527 1 2292 2550 t 10 R f (==)2854 2580 w 10 S f (>)2966 2580 w 10 I f (w)3046 2580 w 7 I f (i)3124 2600 w 10 S f (= m)1 162 1 3201 2580 t 10 R f (\( 1)1 91 1 3371 2580 t 10 S f (- m)1 153 1 3502 2580 t 10 R f (\))3663 2580 w 10 S f (=)3753 2580 w 10 R f (\( 1)1 91 1 3882 2660 t 10 S f (+)4022 2660 w 10 I f (e)4126 2660 w 7 S f (h)4181 2620 w 10 R f (\))4239 2660 w 7 R f (2)4277 2620 w 10 I f (e)4049 2520 w 7 S f (h)4104 2480 w 10 S1 f (_ _________)1 468 1 3868 2550 t 10 R f (.)4346 2580 w (\(8\))720 2820 w 10 I f (Probit)1080 2820 w 10 R f ( with)1 203(: \(binomial)1 467 2 1336 2820 t 10 S f (m = F)2 287 1 2031 2820 t 10 R f (\()2326 2820 w 10 S f (h)2367 2820 w 10 R f (\),)2435 2820 w 10 S f (F)2518 2820 w 10 R f (= cumulative normal distribution\):)3 1381 1 2619 2820 t 10 S f (r)1746 3000 w 7 I f (i)1812 3020 w 10 R f (\()1848 3000 w 10 S f (h)1889 3000 w 10 R f (\))1957 3000 w 10 S f (= -)1 167 1 2047 3000 t 10 I f (y)2230 3000 w 7 I f (i)2285 3020 w 10 R f (log [)1 169 1 2321 3000 t 10 S f (F)2498 3000 w 10 R f (\()2582 3000 w 10 S f (h)2623 3000 w 10 R f (\) ])1 74 1 2691 3000 t 10 S f (-)2822 3000 w 10 R f (\()2926 3000 w 10 I f (c)2967 3000 w 7 I f (i)3022 3020 w 10 S f (-)3090 3000 w 10 I f (y)3185 3000 w 7 I f (i)3240 3020 w 10 R f ( [ 1)2 99(\) log)1 177 2 3276 3000 t 10 S f (- F)1 180 1 3601 3000 t 10 R f (\()3789 3000 w 10 S f (h)3830 3000 w 10 R f (\) ])1 74 1 3898 3000 t 10 I f (.)3988 3000 w 10 R f (\(\2618\))720 3290 w 10 I f (IRLS Probit)1 481 1 1080 3290 t 10 R f (:)1561 3290 w 10 S f (m = F)2 287 1 1639 3290 t 10 R f (\()1934 3290 w 10 S f (h)1975 3290 w 10 R f (\) ==)1 170 1 2043 3290 t 10 S f (>)2213 3290 w 10 I f (w)2293 3290 w 7 I f (i)2371 3310 w 10 S f (=)2448 3290 w 10 R f (2)2577 3360 w 10 S f (p m)1 121 1 2635 3360 t 10 R f (\( 1)1 91 1 2764 3360 t 10 S f (- m)1 153 1 2895 3360 t 10 R f (\))3056 3360 w 10 I f (e)2742 3230 w 7 S f (- h)1 92 1 2797 3190 t 4 R f (2)2892 3153 w 10 S1 f (_ __________)1 542 1 2563 3260 t 10 R f (.)3115 3290 w (\(9\))720 3520 w 10 I f (Weibull)1080 3520 w 10 R f (:)1391 3520 w 10 S f (r)1824 3700 w 7 I f (i)1890 3720 w 10 R f (\()1926 3700 w 10 S f (h)1967 3700 w 10 R f (\))2035 3700 w 10 S f (= -)1 167 1 2125 3700 t 10 I f (y)2308 3700 w 7 I f (i)2363 3720 w 10 R f (log [ 1)2 227 1 2399 3700 t 10 S f (-)2675 3700 w 10 R f (exp \()1 185 1 2779 3700 t 10 S f (-)2980 3700 w 10 I f (e)3051 3700 w 7 S f (h)3106 3660 w 10 R f (\) ])1 74 1 3164 3700 t 10 S f (+)3295 3700 w 10 R f (\()3399 3700 w 10 I f (c)3440 3700 w 7 I f (i)3495 3720 w 10 S f (-)3563 3700 w 10 I f (y)3658 3700 w 7 I f (i)3713 3720 w 10 R f (\))3749 3700 w 10 I f (e)3798 3700 w 7 S f (h)3853 3660 w 10 I f (.)3911 3700 w 10 R f (\(\2619\))720 3990 w 10 I f (IRLS Weibull)1 536 1 1080 3990 t 10 R f (:)1616 3990 w 10 S f (m =)1 162 1 1694 3990 t 10 R f (1)1905 3990 w 10 S f (-)2004 3990 w 10 I f (e)2108 3990 w 7 S f (-)2163 3950 w 7 I f (e)2213 3950 w 4 S f (h)2250 3913 w 10 R f (==)2312 3990 w 10 S f (>)2424 3990 w 10 I f (w)2504 3990 w 7 I f (i)2582 4010 w 10 S f (=)2659 3990 w 10 I f (e)2788 4070 w 7 I f (e)2843 4030 w 4 S f (h)2880 3993 w 10 S f (-)2966 4070 w 10 R f (1)3070 4070 w 10 I f (e)2882 3930 w 7 R f (2)2937 3890 w 7 S f (h)2977 3890 w 10 S1 f (_ _______)1 362 1 2774 3960 t 10 R f (.)3146 3990 w (\(10\))720 4230 w 10 I f (Gamma)1080 4230 w 10 R f (:)1396 4230 w 10 S f (r)1474 4230 w 7 I f (i)1540 4250 w 10 R f (\()1576 4230 w 10 S f (h)1617 4230 w 10 R f (\))1685 4230 w 10 S f (=)1775 4230 w 10 I f (c)1879 4230 w 7 I f (i)1934 4250 w 10 R f (\()1970 4230 w 10 I f (y)2011 4230 w 7 I f (i)2066 4250 w 10 S f (h -)1 164 1 2102 4230 t 10 R f (log \()1 169 1 2315 4230 t 10 S f (h)2492 4230 w 10 R f (\) \).)1 99 1 2560 4230 t (\(\26110\))720 4410 w 10 I f (IRLS GN = No change)4 912 1 1080 4410 t 10 R f (:)1992 4410 w 10 S f (m =)1 162 1 2070 4410 t 10 R f (1)2281 4410 w 10 I f (/)2363 4410 w 10 S f (h)2423 4410 w 10 R f (==)2508 4410 w 10 S f (>)2620 4410 w 10 I f (w)2700 4410 w 7 I f (i)2778 4430 w 10 S f (= m)1 162 1 2855 4410 t 7 R f (2)3022 4370 w 10 S f (= h)1 164 1 3114 4410 t 7 S f (-)3289 4370 w 7 R f (2)3339 4370 w 10 R f (==)3407 4410 w 10 S f (>)3519 4410 w 10 R f (IRLS GN =)2 467 1 3599 4410 t 10 S f (r \242 \242)2 121 1 4091 4410 t 10 R f (GN.)4237 4410 w (\(11\))720 4590 w 10 I f (Nelder and Pregibon Quasi-Likelihood, replicate weights)5 2305 1 1080 4590 t 10 R f (:)3385 4590 w 10 S f (r)1287 4905 w 7 I f (i)1353 4925 w 10 R f (\()1389 4905 w 10 S f (h)1430 4905 w 10 R f (,)1498 4905 w 10 S f (g)1531 4905 w 10 R f (\))1580 4905 w 10 S f (=)1670 4905 w 10 I f (c)1774 4905 w 7 I f (i)1829 4925 w 10 S f (\351)1873 4768 w (\357)1873 4868 w (\357)1873 4968 w (\353)1873 5068 w 10 S1 f ()1923 4905 w cleartomark saveobj restore %%BeginGlobal /build_12 { pop /optsize ptsize def /osize size def /ofont font def optsize 2 div dup R exch R f 0 size 2 mul 3 div dup neg exch 0 exch rmoveto (1) show rmoveto optsize R f (\244) show f (2) show optsize ofont f } def %%EndGlobal /saveobj save def mark 10 S1 f 1923 4905 m 75 build_12 1998 4905 m 10 R f (log [ 2)2 227 1 2006 4905 t 10 S f (p f)1 115 1 2241 4905 t 10 I f (y)2364 4905 w 7 I f (i)2413 4924 w 7 S f (q)2413 4865 w 10 R f (])2465 4905 w 10 S f (+)2555 4905 w (\354)2667 4818 w (\357)2667 4918 w (\356)2667 5018 w (f)2870 4995 w 10 R f (\( 1)1 91 1 2930 4995 t 10 S f (- q)1 147 1 3061 4995 t 10 R f (\))3216 4995 w 10 I f (y)2741 4845 w 7 I f (i)2790 4864 w 7 R f (1)2790 4805 w 7 S f (- q)1 86 1 2836 4805 t 10 S f (- h)1 155 1 2970 4845 t 7 S f (y)3130 4805 w 7 R f (\( 1)1 63 1 3183 4805 t 7 S f (- q)1 86 1 3257 4805 t 7 R f (\))3348 4805 w 10 S1 f (_ _____________)1 668 1 2726 4895 t 10 S f (\374)3404 4818 w (\357)3404 4918 w (\376)3404 5018 w 10 I f (y)3469 4905 w 7 I f (i)3524 4925 w 10 S f (+)3601 4905 w (f)3863 4975 w 10 R f (\( 2)1 91 1 3923 4975 t 10 S f (- q)1 147 1 4054 4975 t 10 R f (\))4209 4975 w 10 S f (h)3730 4825 w 7 S f (y)3795 4785 w 7 R f (\( 2)1 63 1 3848 4785 t 7 S f (- q)1 86 1 3922 4785 t 7 R f (\))4013 4785 w 10 S f (-)4092 4825 w 10 I f (y)4187 4825 w 7 I f (i)4236 4844 w 7 R f (2)4236 4785 w 7 S f (- q)1 86 1 4282 4785 t 10 S1 f (_ _____________)1 676 1 3715 4875 t 10 S f (\371)4401 4768 w (\357)4401 4868 w (\357)4401 4968 w (\373)4401 5068 w 10 R f (,)4447 4905 w (where)1080 5245 w 10 S f (f = g)2 246 1 1355 5245 t 7 R f (1)1612 5265 w 10 R f (,)1655 5245 w 10 S f (q = g)2 246 1 1712 5245 t 7 R f (2)1969 5265 w 10 R f (, and)1 201 1 2012 5245 t 10 S f (y = g)2 263 1 2245 5245 t 7 R f (3)2519 5265 w 10 R f (. \(L)1 176 1 2562 5245 t 10 S f (\242)2738 5245 w 10 R f (Ho)2763 5245 w 11 R f (\303)2842 5240 w 10 R f ( gives special forms for)4 969(pital's rule)1 437 2 2885 5245 t 10 S f (r)4324 5245 w 7 I f (i)4390 5265 w 10 R f (when)4451 5245 w 10 S f (q)4700 5245 w 10 R f (= 1 or)2 255 1 4785 5245 t (2.\))1080 5365 w (\(\26111\))720 5545 w 10 I f (IRLS)1080 5545 w 10 R f (:)1280 5545 w 10 S f (m = h)2 271 1 1358 5545 t 7 S f (y)1634 5505 w 10 R f (==)1715 5545 w 10 S f (>)1827 5545 w 10 I f (w)1907 5545 w 7 I f (i)1985 5565 w 10 S f (=)2062 5545 w 10 I f (c)2166 5545 w 7 I f (i)2221 5565 w 10 S f (y)2257 5545 w 7 R f (2)2331 5505 w 10 S f (h)2382 5545 w 7 R f (\( 2)1 63 1 2447 5505 t 7 S f (- q)1 102 1 2537 5505 t 7 R f (\))2644 5505 w 7 S f (y -)1 121 1 2678 5505 t 7 R f (2)2833 5505 w 10 R f (.)2876 5545 w (\(12\))720 5725 w 10 I f (Least Squares)1 564 1 1080 5725 t 10 R f (:)1644 5725 w 10 S f (r)1722 5725 w 7 I f (i)1788 5745 w 10 R f (\()1824 5725 w 10 S f (h)1865 5725 w 10 R f (\))1933 5725 w 10 S f (=)2023 5725 w 10 S1 f ()2127 5725 w 2127 5725 m 75 build_12 2202 5725 m 10 R f (\()2210 5725 w 10 S f (h -)1 164 1 2251 5725 t 10 I f (y)2464 5725 w 7 I f (i)2519 5745 w 10 R f (\))2555 5725 w 7 R f (2)2593 5685 w 10 R f (.)2636 5725 w (\(13\))720 5905 w 10 I f (Nelder and Pregibon Quasi-Likelihood, variance weights)5 2299 1 1080 5905 t 10 R f (:)3379 5905 w 10 S f (r)1224 6220 w 7 I f (i)1290 6240 w 10 R f (\()1326 6220 w 10 S f (h)1367 6220 w 10 R f (,)1435 6220 w 10 S f (g)1468 6220 w 10 R f (\))1517 6220 w 10 S f (=)1607 6220 w 10 S1 f ()1711 6220 w 1711 6220 m 75 build_12 1786 6220 m 10 R f (log [ 2)2 227 1 1794 6220 t 10 S f (p f)1 115 1 2029 6220 t 10 I f (y)2152 6220 w 7 I f (i)2201 6239 w 7 S f (q)2201 6180 w 10 I f (/ c)1 80 1 2253 6220 t 7 I f (i)2344 6240 w 10 R f (])2380 6220 w 10 S f (+)2470 6220 w 10 I f (c)2574 6220 w 7 I f (i)2629 6240 w 10 S f (\351)2673 6083 w (\357)2673 6183 w (\357)2673 6283 w (\353)2673 6383 w (\354)2731 6133 w (\357)2731 6233 w (\356)2731 6333 w (f)2934 6310 w 10 R f (\( 1)1 91 1 2994 6310 t 10 S f (- q)1 147 1 3125 6310 t 10 R f (\))3280 6310 w 10 I f (y)2805 6160 w 7 I f (i)2854 6179 w 7 R f (1)2854 6120 w 7 S f (- q)1 86 1 2900 6120 t 10 S f (- h)1 155 1 3034 6160 t 7 S f (y)3194 6120 w 7 R f (\( 1)1 63 1 3247 6120 t 7 S f (- q)1 86 1 3321 6120 t 7 R f (\))3412 6120 w 10 S1 f (_ _____________)1 668 1 2790 6210 t 10 S f (\374)3468 6133 w (\357)3468 6233 w (\376)3468 6333 w 10 I f (y)3533 6220 w 7 I f (i)3588 6240 w 10 S f (+)3665 6220 w (f)3927 6290 w 10 R f (\( 2)1 91 1 3987 6290 t 10 S f (- q)1 147 1 4118 6290 t 10 R f (\))4273 6290 w 10 S f (h)3794 6140 w 7 S f (y)3859 6100 w 7 R f (\( 2)1 63 1 3912 6100 t 7 S f (- q)1 86 1 3986 6100 t 7 R f (\))4077 6100 w 10 S f (-)4156 6140 w 10 I f (y)4251 6140 w 7 I f (i)4300 6159 w 7 R f (2)4300 6100 w 7 S f (- q)1 86 1 4346 6100 t 10 S1 f (_ _____________)1 676 1 3779 6190 t 10 S f (\371)4465 6083 w (\357)4465 6183 w (\357)4465 6283 w (\373)4465 6383 w 10 R f (,)4511 6220 w (where)1080 6555 w 10 S f (f)1348 6555 w 10 R f (,)1400 6555 w 10 S f (q)1450 6555 w 10 R f (, and)1 194 1 1502 6555 t 10 S f (y)1721 6555 w 10 R f (are as for \(11\).)3 586 1 1815 6555 t ( \(\26111\).)1 266( see)1 177(\(\26113\) :)1 388 3 720 6735 t ( 18:34:02)1 1772( 16, 1991)2 375( September)1 1307(DRAFT for comment)2 866 4 720 7680 t cleartomark showpage saveobj restore %%EndPage: 4 4 %%Trailer done %%Pages: 4 %%DocumentFonts: Times-Roman Symbol Times-BoldItalic Courier Times-Roman Times-Bold Times-Italic .