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"# The R Programming Language\n",
"\n",
"**Ray Lopez, Ph.D.**\n",
"\n",
"*Sr. Data Scientist, IBM Corporation*\n",
"\n",
"*Lecturer, Texas A&M University San Antonio*\n"
]
},
{
"cell_type": "markdown",
"metadata": {
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"source": [
"# Note about this presentation\n",
"\n",
"* This presentation was created as a *Jupyter notebook*\n",
"* Jupyter notebooks are used to organize and run code in R, Python, etc.\n",
"* To view and use Jupyter notebooks you need Python and all the Python Jupyter libraries\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
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"slide_type": "slide"
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"source": [
"# What is R?\n",
"\n",
"* R is a programming language that was invented in 1993\n",
"* Evolved to a very powerful set of capabilities\n",
"* Used for\n",
" - Data handling and storage\n",
" - Data analytics and statistical analyses\n",
" - Calculations on arrays and matrices\n",
" - Powerful graphing capabilities\n",
" \n"
]
},
{
"cell_type": "markdown",
"metadata": {
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"slide_type": "slide"
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"source": [
"## Pros\n",
"* Free!\n",
"* Massive amount of online help and tutorials\n",
"* Large community of users\n",
"* Very flexible and powerful\n",
"* Looks very good on your resume\n",
"\n",
"## Cons\n",
"* Steep learning curve\n",
"* Use outside of academia is declining in favor of Python"
]
},
{
"cell_type": "markdown",
"metadata": {
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"slide_type": "slide"
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"source": [
"# Where can I get R?\n",
"\n",
"* R is free and open source!\n",
"* [r-project.org](http://r-project.org)\n",
"* R is available for Windows, Mac, and Linux platforms\n",
"* From r-project.org, you can access different CRAN servers across the world (Comprehensive R Archive Network)\n",
"* This only gets you the R interpreter, which is FUGLY!\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Use R Studio to make life easier\n",
"\n",
"* [rstudio.com](http://rstudio.com)\n",
"* Organizes things into different panes"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
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"source": [
"# Walk through a simple analysis\n",
"\n",
"* 2x2 ANOVA\n",
"* IVs\n",
" - Attractiveness of defendant in a trial (attractive and unattractive)\n",
" - Smiling (smiling v. not smiling)\n",
"* DV: Perceived guilt of defendant\n",
"* Hypothesis: Attractive persons who smile are perceived as being less guilty than unattractive persons or persons who do not smile. \n"
]
},
{
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"metadata": {
"slideshow": {
"slide_type": "slide"
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"source": [
"# Workflow\n",
"\n",
"* Get data\n",
"* Import data into R\n",
"* Get descriptive stats\n",
"* Run ANOVA\n",
"* Look at results"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
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"source": [
"# Get data\n",
"\n",
"* Most researchers use spreadsheets to initially organize data\n",
"* Data are entered into a spreadsheet and coded per level of each IV\n",
"* Example ...\n",
"* After data are entered, export spreadsheet as a CSV file (comma separated values)\n",
"* Example ..."
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
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"outputs": [
{
"data": {
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"\n",
"A data.frame: 32 × 3\n",
"\n",
"\t| FACTOR_A | FACTOR_S | GUILT |
|---|
\n",
"\t| <fct> | <fct> | <int> |
|---|
\n",
"\n",
"\n",
"\t| A | S | 10 |
\n",
"\t| A | S | 15 |
\n",
"\t| A | S | 21 |
\n",
"\t| A | S | 19 |
\n",
"\t| A | S | 23 |
\n",
"\t| A | S | 12 |
\n",
"\t| A | S | 10 |
\n",
"\t| A | S | 9 |
\n",
"\t| A | N | 23 |
\n",
"\t| A | N | 21 |
\n",
"\t| A | N | 19 |
\n",
"\t| A | N | 34 |
\n",
"\t| A | N | 8 |
\n",
"\t| A | N | 23 |
\n",
"\t| A | N | 25 |
\n",
"\t| A | N | 22 |
\n",
"\t| U | S | 34 |
\n",
"\t| U | S | 33 |
\n",
"\t| U | S | 39 |
\n",
"\t| U | S | 29 |
\n",
"\t| U | S | 42 |
\n",
"\t| U | S | 37 |
\n",
"\t| U | S | 33 |
\n",
"\t| U | S | 39 |
\n",
"\t| U | N | 76 |
\n",
"\t| U | N | 67 |
\n",
"\t| U | N | 59 |
\n",
"\t| U | N | 78 |
\n",
"\t| U | N | 90 |
\n",
"\t| U | N | 63 |
\n",
"\t| U | N | 78 |
\n",
"\t| U | N | 77 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 32 × 3\n",
"\\begin{tabular}{r|lll}\n",
" FACTOR\\_A & FACTOR\\_S & GUILT\\\\\n",
" & & \\\\\n",
"\\hline\n",
"\t A & S & 10\\\\\n",
"\t A & S & 15\\\\\n",
"\t A & S & 21\\\\\n",
"\t A & S & 19\\\\\n",
"\t A & S & 23\\\\\n",
"\t A & S & 12\\\\\n",
"\t A & S & 10\\\\\n",
"\t A & S & 9\\\\\n",
"\t A & N & 23\\\\\n",
"\t A & N & 21\\\\\n",
"\t A & N & 19\\\\\n",
"\t A & N & 34\\\\\n",
"\t A & N & 8\\\\\n",
"\t A & N & 23\\\\\n",
"\t A & N & 25\\\\\n",
"\t A & N & 22\\\\\n",
"\t U & S & 34\\\\\n",
"\t U & S & 33\\\\\n",
"\t U & S & 39\\\\\n",
"\t U & S & 29\\\\\n",
"\t U & S & 42\\\\\n",
"\t U & S & 37\\\\\n",
"\t U & S & 33\\\\\n",
"\t U & S & 39\\\\\n",
"\t U & N & 76\\\\\n",
"\t U & N & 67\\\\\n",
"\t U & N & 59\\\\\n",
"\t U & N & 78\\\\\n",
"\t U & N & 90\\\\\n",
"\t U & N & 63\\\\\n",
"\t U & N & 78\\\\\n",
"\t U & N & 77\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 32 × 3\n",
"\n",
"| FACTOR_A <fct> | FACTOR_S <fct> | GUILT <int> |\n",
"|---|---|---|\n",
"| A | S | 10 |\n",
"| A | S | 15 |\n",
"| A | S | 21 |\n",
"| A | S | 19 |\n",
"| A | S | 23 |\n",
"| A | S | 12 |\n",
"| A | S | 10 |\n",
"| A | S | 9 |\n",
"| A | N | 23 |\n",
"| A | N | 21 |\n",
"| A | N | 19 |\n",
"| A | N | 34 |\n",
"| A | N | 8 |\n",
"| A | N | 23 |\n",
"| A | N | 25 |\n",
"| A | N | 22 |\n",
"| U | S | 34 |\n",
"| U | S | 33 |\n",
"| U | S | 39 |\n",
"| U | S | 29 |\n",
"| U | S | 42 |\n",
"| U | S | 37 |\n",
"| U | S | 33 |\n",
"| U | S | 39 |\n",
"| U | N | 76 |\n",
"| U | N | 67 |\n",
"| U | N | 59 |\n",
"| U | N | 78 |\n",
"| U | N | 90 |\n",
"| U | N | 63 |\n",
"| U | N | 78 |\n",
"| U | N | 77 |\n",
"\n"
],
"text/plain": [
" FACTOR_A FACTOR_S GUILT\n",
"1 A S 10 \n",
"2 A S 15 \n",
"3 A S 21 \n",
"4 A S 19 \n",
"5 A S 23 \n",
"6 A S 12 \n",
"7 A S 10 \n",
"8 A S 9 \n",
"9 A N 23 \n",
"10 A N 21 \n",
"11 A N 19 \n",
"12 A N 34 \n",
"13 A N 8 \n",
"14 A N 23 \n",
"15 A N 25 \n",
"16 A N 22 \n",
"17 U S 34 \n",
"18 U S 33 \n",
"19 U S 39 \n",
"20 U S 29 \n",
"21 U S 42 \n",
"22 U S 37 \n",
"23 U S 33 \n",
"24 U S 39 \n",
"25 U N 76 \n",
"26 U N 67 \n",
"27 U N 59 \n",
"28 U N 78 \n",
"29 U N 90 \n",
"30 U N 63 \n",
"31 U N 78 \n",
"32 U N 77 "
]
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"output_type": "display_data"
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],
"source": [
"# R code to import CSV file into an R data frame using the read.csv() function\n",
"# Data Frame: A matrix with names above each column\n",
"\n",
"my_anova_data = read.csv(\"./2waydata.csv\")\n",
"my_anova_data"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"slideshow": {
"slide_type": "slide"
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"'data.frame':\t32 obs. of 3 variables:\n",
" $ FACTOR_A: Factor w/ 2 levels \"A\",\"U\": 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ FACTOR_S: Factor w/ 2 levels \"N\",\"S\": 2 2 2 2 2 2 2 2 1 1 ...\n",
" $ GUILT : int 10 15 21 19 23 12 10 9 23 21 ...\n"
]
}
],
"source": [
"# To take a quick look at the STRUCTURE of the data in the data frame we can use the str() function\n",
"\n",
"str(my_anova_data)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"slideshow": {
"slide_type": "slide"
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"outputs": [
{
"data": {
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"\n",
"A grouped_df: 4 × 5\n",
"\n",
"\t| FACTOR_A | FACTOR_S | count | mean | sd |
|---|
\n",
"\t| <fct> | <fct> | <int> | <dbl> | <dbl> |
|---|
\n",
"\n",
"\n",
"\t| A | N | 8 | 21.875 | 7.180082 |
\n",
"\t| A | S | 8 | 14.875 | 5.488625 |
\n",
"\t| U | N | 8 | 73.500 | 9.957051 |
\n",
"\t| U | S | 8 | 35.750 | 4.234214 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A grouped_df: 4 × 5\n",
"\\begin{tabular}{r|lllll}\n",
" FACTOR\\_A & FACTOR\\_S & count & mean & sd\\\\\n",
" & & & & \\\\\n",
"\\hline\n",
"\t A & N & 8 & 21.875 & 7.180082\\\\\n",
"\t A & S & 8 & 14.875 & 5.488625\\\\\n",
"\t U & N & 8 & 73.500 & 9.957051\\\\\n",
"\t U & S & 8 & 35.750 & 4.234214\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A grouped_df: 4 × 5\n",
"\n",
"| FACTOR_A <fct> | FACTOR_S <fct> | count <int> | mean <dbl> | sd <dbl> |\n",
"|---|---|---|---|---|\n",
"| A | N | 8 | 21.875 | 7.180082 |\n",
"| A | S | 8 | 14.875 | 5.488625 |\n",
"| U | N | 8 | 73.500 | 9.957051 |\n",
"| U | S | 8 | 35.750 | 4.234214 |\n",
"\n"
],
"text/plain": [
" FACTOR_A FACTOR_S count mean sd \n",
"1 A N 8 21.875 7.180082\n",
"2 A S 8 14.875 5.488625\n",
"3 U N 8 73.500 9.957051\n",
"4 U S 8 35.750 4.234214"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Calculate the cell means of each of the two independent variables Attractiveness (FACTOR_A) and\n",
"# Smiling (FACTOR_S)\n",
"\n",
"require(\"dplyr\")\n",
"group_by(my_anova_data, FACTOR_A, FACTOR_S) %>%\n",
" dplyr::summarise(\n",
" count = n(),\n",
" mean = mean(GUILT, na.rm = TRUE),\n",
" sd = sd(GUILT, na.rm = TRUE)\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" FACTOR_A mean\n",
"1 A 18.375\n",
"2 U 54.625\n",
" FACTOR_S mean\n",
"1 N 47.6875\n",
"2 S 25.3125\n"
]
}
],
"source": [
"# Calculate the MARGINAL cell means of each of the two independent variables Attractiveness (FACTOR_A) and\n",
"# Smiling (FACTOR_S)\n",
"\n",
"library(\"plyr\") # Use the plyr package\n",
"factor_a_means<-ddply(my_anova_data, .(FACTOR_A), summarize, mean=mean(GUILT))\n",
"print(factor_a_means)\n",
"factor_s_means<-ddply(my_anova_data, .(FACTOR_S), summarize, mean=mean(GUILT))\n",
"print(factor_s_means)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
" \n",
" N S\n",
" A 8 8\n",
" U 8 8"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a cute little table of n for each cell\n",
"\n",
"table(my_anova_data$FACTOR_A, my_anova_data$FACTOR_S)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
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DTjFaSN2VatW977xiefCU9XlvzOa/vj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\n+B+t+eQKZclA4QAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a box plot with multiple groups\n",
"# Plot GUILT by FACTOR_A and color box plot by FACTOR_S\n",
"\n",
"library(\"ggpubr\")\n",
"ggboxplot(my_anova_data, x = \"FACTOR_A\", y = \"GUILT\", color = \"FACTOR_S\", \n",
" palette = c(\"#00AFBB\", \"#E7B800\"))"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"`stat_bindot()` using `bins = 30`. Pick better value with `binwidth`.\n"
]
},
{
"data": {
"image/png": 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rQ7Hm9reTFfu361e27NCv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\nQIHTJmC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iRy2IfwHrMlbfc0h8qpuSgQ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\nuFQ7a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cRAABBBDokQBJGnrERCEEEEAA\nASvw4IMPOn860njrrbdaJV+wAc97770nm9ihOfV3RkaGTjvtNCfZgk3hvW/GO5sswR5t03h3\n9KxAz9kAyU6Ds8kfujvs1EB72MQQ+x5ut1tdBWrTp0+XnSqYlpa2721+ffbX0K/KKYwAAggg\n0KEAAVKHLJxEAAEEEOhIwO5DdNxxx3V0qd2+Pw888IBT7oILLmhV3n63GeJMQoZWAVJ+fr5T\nziRWaFU+2F/sWie7h1FXwc2+z7RTAu1hM+bte9iRMTsiZg9bn51S99lnn8n2w2axs1a2TCCH\nv4aBPIt7EUAAAQT2ChAg8ZuAAAIIINBjAZu2+he/+EW35W26axsk2OOaa67RD3/4w5Z7mqfW\n2TTdmzdvbgmsbCIHe9i02H152MDIjhxt3LjReb7dvLarw25Ua4+2o012BMqOEO17WJsbbrhB\nV199tWxyhua9mvYt09PPvTHsad2UQwABBBDoXIA1SJ3bcAUBBBBAoJcCNvjZuXOn7DSzuXPn\nOokObLID+2fOnDmyiRZsoPTXv/615QkTJ050AopVq1a1nOvogw0cbFm7tsdOc+vNccwxxzi3\n2SmA3R3vvvuuU6SrvZua6/jNb37jJKKw65BsQormYLD5uj8/e2PoT/2URQABBBDoRKAl4Tcf\nEEAAAQQQ6ETA332QzDojZw8gsy6pwxrNqIxzPTc311dfX99S5vjjj3fOm1TeLefafjBZ3Zwy\nZqpf20st37vbB8nuTWSmvzn7HJnkEi33tf3wzDPPOM+aMGGCzwQ7LZe72geprKzMN2rUKOe+\nW265peUefz/01tDf51AeAQQQQKC1ACNInQSOnEYAAQQQ6J2A2eBVCxYscNbizJs3r8NKTMAh\ne82WffbZZ1vK3Hjjjc7aoGuvvdbJAtdy4b8fli9frksvvdQps++0vbbluvtuR7LuvPNOFRYW\nOkkj7GhX28P2wWajs1PyzKa0PV6zZBNRNI+M2Sl3mzZtalt1t98DMey2cgoggAACCHQpQIDU\nJQ8XEUAAAQT8FXjkkUecvY7sFLOuEiFcfPHFTtU2WUPzMXv2bN12220y/5ank08+2dlc1gZL\nf/7zn52NV+06JTNCo9/97ncyo03Nt/Xqpw20fv3rX+v111939l761re+5TzHBjVf+tKXnAQS\nNm33//3f/6l5Sl5PH2Tv/8Y3vqHa2lonyOrpfc3lAjFsroOfCCCAAAK9FGg9oMQ3BBBAAAEE\n2gv4M8XO7GPkTC8za4naV7TPmZqaGp9Jgd1h2VdeecV39NFHO9fM/7y1/DQbt/rMyM4+tXT8\nsbspdvveZTat9c2YMaPlGfZ5JgGD74wzzvB9/PHH+xZt+dzVFLvmQmYUyGfL2foeeuih5tM9\n+hkMwx49iEIIIIAAAu0EouyZXsZW3IYAAggggECfCtjNZ7dt26a6ujrZaXmB7CnUXUNLSkq0\nZcsWJSUlafTo0UpMTOzuFq4jgAACCAxCAQKkQfhS6RICCCCAAAIIIIAAAgj0ToB9kHrnxl0I\nIIAAAgj0WMAmXTDT9XpcfubMmRo+fHiPy1MQAQQQQCB4AgRIwbOkJgQQQAABBDoUsMHR6aef\n3uG1jk7aJA1nnXVWR5c4hwACCCDQxwJMsetjYKpHAAEEEEAAAQQQQACB8BEgzXf4vCtaigAC\nCCCAAAIIIIAAAn0sQIDUx8BUjwACCCCAAAIIIIAAAuEjQIAUPu+KliKAAAIIIIAAAggggEAf\nCxAg9TEw1SOAAAIIIIAAAggggED4CBAghc+7oqUIIIAAAggggAACCCDQxwIESH0MTPUIIIAA\nAggggAACCCAQPgIESOHzrmgpAggggAACCCCAAAII9LEAAVIfA1M9AggggAACCCCAAAIIhI8A\nAVL4vCtaigACCCCAAAIIIIAAAn0s8P/9xnjyVaa5UgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a ine plot with multiple groups\n",
"# Plot GUILT by FACTOR_A and color box plot by FACTOR_S\n",
"# Add error bars: mean_se\n",
"# (other values include: mean_sd, mean_ci, median_iqr, ....)\n",
"\n",
"ggline(my_anova_data, x = \"FACTOR_A\", y = \"GUILT\", color = \"FACTOR_S\", \n",
" add = c(\"mean_se\", \"dotplot\"), \n",
" palette = c(\"#00AFBB\", \"#E7B800\"))"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"image/png": 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FECOkiNOhwqQ4AAAQIECLRA4HFpw3uTdVvQFk0gQIDAVAT2zV4vT/xFOhV+OyVA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bu6jlJ93hESAwtwKtKpB8xW5u38cOvE+B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\nH96i7IrHvOtqAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simpler plot with simpler code using the interaction.plot() function\n",
"\n",
"interaction.plot(x.factor=my_anova_data$FACTOR_A, trace.factor=my_anova_data$FACTOR_S, \n",
" response=my_anova_data$GUILT, type='b') "
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"data": {
"text/plain": [
" Df Sum Sq Mean Sq F value Pr(>F) \n",
"FACTOR_A 1 10513 10513 211.57 1.40e-14 ***\n",
"FACTOR_S 1 4005 4005 80.61 9.83e-10 ***\n",
"FACTOR_A:FACTOR_S 1 1891 1891 38.06 1.16e-06 ***\n",
"Residuals 28 1391 50 \n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do the ANOVA using the aov() function!\n",
"\n",
"my_anova <- aov(GUILT ~ FACTOR_A + FACTOR_S + FACTOR_A:FACTOR_S, data = my_anova_data)\n",
"summary(my_anova)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
" Tukey multiple comparisons of means\n",
" 95% family-wise confidence level\n",
"\n",
"Fit: aov(formula = GUILT ~ FACTOR_A + FACTOR_S + FACTOR_A:FACTOR_S, data = my_anova_data)\n",
"\n",
"$FACTOR_A\n",
" diff lwr upr p adj\n",
"U-A 36.25 31.14501 41.35499 0\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
" Tukey multiple comparisons of means\n",
" 95% family-wise confidence level\n",
"\n",
"Fit: aov(formula = GUILT ~ FACTOR_A + FACTOR_S + FACTOR_A:FACTOR_S, data = my_anova_data)\n",
"\n",
"$FACTOR_S\n",
" diff lwr upr p adj\n",
"S-N -22.375 -27.47999 -17.27001 0\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Just for fun let's do some Tukey Honest Significant Differences (HSD) tests.\n",
"\n",
"TukeyHSD(my_anova, which = \"FACTOR_A\")\n",
"TukeyHSD(my_anova, which = \"FACTOR_S\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Resources\n",
"\n",
"* This notebook: [http://ratthing.com/u/3b](http://ratthing.com/u/3b)\n",
"* R homepage: [r-project.org](http://r-project.org)\n",
"* R Studio: [rstudio.com](http://rstudio.com)\n",
"* Beginner's Guide to R: [ratthing.com/u/3a](http://ratthing.com/u/3a)\n",
"* Anaconda: [anaconda.com](https://www.anaconda.com/)\n",
"* YouTube R Programming Tutorial: [https://www.youtube.com/watch?v=_V8eKsto3Ug](https://www.youtube.com/watch?v=_V8eKsto3Ug)\n",
"* Coursera R course: [https://www.coursera.org/learn/r-programming](https://www.coursera.org/learn/r-programming)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
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"name": "R",
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