R companion to elementary applied statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton
CRC Press, Taylor & Francis Group
2019
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xvii, 358 Seiten Illustrationen |
| ISBN: | 9781138329164 |
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| 246 | 1 | 3 | |a Companion to elementary applied statistics |
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| adam_text | Contents Preface 1 Preliminaries 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 1.12 2 3 xv First Steps ................................................................................ Running Code in R ................................................................. Some Terminology.................................................................... Hierarchy of Data Classes........................................................ Data Structures ....................................................................... Operators................................................................................... Functions................................................................................... R Packages................................................................................ Probability Distributions ........................................................ Coding Conventions................................................................. Some Bookkeeping and Other Tips ....................................... Getting Quick Coding Help..................................................... 1 1 1 5 7 8 10 13 13 15 15 18 20 Bringing Data Into and Out of R 21 2.1 2.2 2.3 2.4 2.5 2.6 2.7 21 25 28 29 33 35 36 Entering Data Through Coding ............................................. Number and Sample Generating Tricks ................................. The R Data Editor ................................................................. Reading Text Files.................................................................... Reading Data from Other File Formats
................................. Reading Data from the Keyboard .......................................... Saving and Exporting Data.................................................. : Accessing Contents of Data Structures 39 3.1 3.2 3.3 3.4 3.5 3.6 3.7 39 41 44 45 48 49 49 49 50 52 Extracting Data from Vectors ................................................ Conducting Data Searches in Vectors .................................... Working with Factors .............................................................. Navigating Data Frames ........................................................ Lists............................................................................................ Choosing an Access/Extraction Method................................. Additional Notes....................................................................... 3.7.1 More About the attach Function................................. 3.7.2 About Functions and Their Arguments ..................... 3.7.3 Alternative Argument Assignments in Function Calls . vii
viii I Contents 4 Altering and Manipulating Data 4.1 Altering Entries in Vectors ...................................................... 4.2 Transformations ....................................................................... 4.3 Manipulating Character Strings ............................................. 4.4 Sorting Vectors and Factors ................................................... 4.5 Altering Data Frames............................................................... 4.6 Sorting Data Frames .............................................................. 4.7 Moving Between Lists and Data Frames................................. 4.8 Additional Notes on the merge Function .............................. 53 53 55 56 58 60 63 65 67 5 Summaries and Statistics 5.1 Univariate Frequency Distributions ....................................... 5.2 Bivariate Frequency Distributions .......................................... 5.3 Statistics for Univariate Samples............................................. 5.3.1 Measures of Central Tendency .................................... 5.3.2 Measures of Spread......................................................... 5.3.3 Measures of Position...................................................... 5.3.4 Measures of Shape......................................................... 5.4 Five-Number Summaries and Outliers.................................... 5.4.1 Elementary Five-Number Summary ........................... 5.4.2 Tukey’s Five-Number Summary.................................... 5.4.3 The boxplot. stats
Function....................................... 69 69 72 73 73 76 77 81 85 86 87 88 6 More on Computing with R 6.1 Computing with Numeric Vectors .......................................... 6.2 Working with Lists, Data Frames, andArrays ...................... 6.2.1 The sapply Function ................................................... 6.2.2 The tapply Function ................................................... 6.2.3 The by Function............................................................ 6.2.4 The aggregate Function ............................................. 6.2.5 The apply Function...................................................... 6.2.6 The sweep Function...................................................... 6.3 For-Loops................................................................................... 6.4 Conditional Statements and the switchFunction ................ 6.4.1 The if-then Statement................................................... 6.4.2 The if-then-else Statement............................................. 6.4.3 The switch Function ................................................... 6.5 Preparing Your Own Functions................................................ 89 89 91 91 93 95 96 98 99 102 103 104 106 107 108 7 Basic Charts for Categorical Data 7.1 Preliminary Comments ............................................................ 7.2 Bar Charts................................................................................ 7.3 Dot Charts................................................................................ 7.4 Pie Charts
................................................................................ 7.5 Exporting Graphics Images...................................................... 111 Ill Ill 116 119 123
Contents ix 7.6 Additional Notes........................................................................ 7.6.1 Customizing Plotting Windows.................................... 7.6.2 The plot. new and plot. window Functions............... 7.6.3 More on the paste Function ....................................... 7.6.4 The title Function...................................................... 7.6.5 More on the legend Function....................................... 7.6.6 More on the mtext Function ....................................... 7.6.7 The text Function........................................................ 125 125 126 127 127 128 128 129 8 Basic Plots for Numeric Data 8.1 Histograms................................................................................ 8.2 Boxplots ................................................................................... 8.3 Stripcharts ................................................................................ 8.4 QQ-Plots................................................................................... 8.4.1 Normal Probability QQ-Plots....................................... 8.4.2 Interpreting Normal Probability QQ-Plots.................. 8.4.3 More on Reference Lines for QQ-Plots........................ 8.4.4 QQ-Plots for Other Distributions................................. 8.5 Additional Notes....................................................................... 8.5.1 More on the ifelse Function....................................... 8.5.2 Revisiting the axis Function....................................... 8.5.3 Frequency
Polygons and Ogives.................................... 131 131 137 142 146 147 149 151 152 153 153 154 157 9 Scatterplots, Lines, and Curves 9.1 Scatterplots ............................................................................. 9.1.1 Basic Plots.................................................................... 9.1.2 Manipulating Plotting Characters .............................. 9.1.3 Plotting Transformed Data.......................................... 9.1.4 Matrix Scatterplots ..................................................... 9.1.5 The matplot Function................................................... 9.2 Graphs of Lines ....................................................................... 9.3 Graphs of Curves .................................................................... 9.4 Superimposing Multiple Lines and/or Curves........................ 9.5 Time-Series Plots .................................................................... 159 159 160 163 163 165 166 169 170 174 177 10 More Graphics Tools 10.1 Partitioning Graphics Windows ............................................. 10.1.1 The layout Function ................................................... 10.1.2 The split. screen Function ....................................... 10.2 Customizing Plotted Text and Symbols ................................. 10.3 Inserting Mathematical Annotation in Plots ........................ 10.4 More Low-Level Graphics Functions....................................... 10.4.1 The points and symbols Functions........................... 10.4.2 The grid, segments, and
arrows Functions............... 10.4.3 Boxes, Rectangles, and Polygons................................. 179 179 179 181 185 187 188 189 189 191
x Contents 10.5 Error Bars ................................................................................ 10.5.1 Computing Bounds for Error Bars.............................. 10.5.2 The errorBar.plot Function....................................... 10.5.3 Purpose and Interpretation of Error Bars.................. 10.6 More R Graphics Resources...................................................... 192 192 193 195 196 11 Tests for One and Two Proportions 11.1 Relevant Probability Distributions.......................................... 11.1.1 Binomial Distributions................................................... 11.1.2 Hypergeometric Distributions....................................... 11.1.3 Normal Distributions...................................................... 11.1.4 Chi-Square Distributions ............................................. 11.2 Single Population Proportions ............................................. 11.2.1 Estimating a Population Proportion........................... 11.2.2 Hypotheses for Single Proportion Tests..................... 11.2.3 A Normal Approximation Test.................................... 11.2.4 A Chi-Square Test........................................................ 11.2.5 An Exact Test.............................................................. 11.2.6 Which Approach Should Be Used?.............................. 11.3 Two Population Proportions ................................................... 11.3.1 Estimating Differences Between Proportions............... 11.3.2 Hypotheses for Two Proportions Tests........................ 11.3.3
A Normal Approximation Test.................................... 11.3.4 A Chi-Square Test........................................................ 11.3.5 Fisher’s Exact Test........................................................ 11.3.6 Which Approach Should Be Used?.............................. 11.4 Additional Notes....................................................................... 11.4.1 Normal Approximations of Binomial Distributions . . 11.4.2 One- versus Two-Sided Hypothesis Tests..................... 197 197 197 200 203 205 207 207 208 209 210 212 213 213 213 214 214 215 217 223 223 223 224 12 Tests for More than Two Proportions 12.1 Equality of Three or More Proportions ................................. 12.1.1 Pearson’s Homogeneity of Proportions Test............... 12.1.2 Marascuilo’s Large Sample Procedure........................ 12.1.3 Cohen’s Small Sample Procedure................................. 12.2 Simultaneous Pairwise Comparisons....................................... 12.2.1 Marascuilo’s Large Sample Procedure........................ 12.2.2 Cohen’s Small Sample Procedure................................. 12.3 Linear Contrasts of Proportions ............................................. 12.3.1 Marascuilo’s Large Sample Approach........................... 12.3.2 Cohen’s Small Sample Approach................................. 12.4 The Chi-Square Goodness-of-Fit Test .................................... 225 225 225 227 229 230 230 231 231 232 233 234
Contents 13 Tests of Variances and Spread 13.1 Relevant Probability Distributions........................................... 13.1.1 F Distributions................................................................. 13.1.2 Using a Sample to Assess Normality............................ 13.2 Single Population Variances .................................................... 13.2.1 Estimating a Variance.................................................... 13.2.2 Testing a Variance........................................................... 13.3 Exactly Two Population Variances........................................... 13.3.1 Estimating the Ratio of Two Variances ..................... 13.3.2 Testing the Ratio of Two Variances ............................ 13.3.3 What If the Normality Assumption Is Violated? . . . 13.4 Two or More Population Variances ........................................ 13.4.1 Assessing Spread Graphically........................................ 13.4.2 Levene’s Test.................................................................... 13.4.3 Levene’s Test with Trimmed Means ............................ 13.4.4 Brown-Forsythe Test........................................................ 13.4.5 Fligner-Killeen Test........................................................ 14 Tests for One or Two Means 14.1 Student’s t Distribution.............................................................. 14.2 Single Population Means ........................................................... 14.2.1 Verifying the Normality Assumption............................ 14.2.2 Estimating a
Mean........................................................... 14.2.3 Testing a Mean................................................................. 14.2.4 Can a Normal Approximation Be Used Here?............ 14.3 Exactly Two PopulationMeans ................................................ 14.3.1 Verifying Assumptions..................................................... 14.3.2 The Test for Dependent Samples.................................. 14.3.3 Tests for Independent Samples..................................... 15 Tests for More than Two Means 15.1 Relevant Probability Distributions........................................... 15.1.1 Studentized Range Distribution..................................... 15.1.2 Dunnett’s Test Distribution........................................... 15.1.3 Studentized Maximum Modulus Distribution............ 15.2 Setting the Stage ....................................................................... 15.3 Equality of Means: Equal Variances Case ............................... 15.4 Pairwise Comparisons: Equal Variances .................................. 15.4.1 Bonferroni’s Procedure.................................................... 15.4.2 Tukey’s Procedure........................................................... 15.4.3 t Tests and Comparisons with a Control...................... 15.4.4 Dunnett’s Test and Comparisons with a Control . . . 15.4.5 Which Procedure to Choose........................................... 15.5 Equality of Means: Unequal Variances Case............................ 15.5.1 Large-Sample Chi-Square Test
.................................... xi 237 237 237 239 240 241 241 243 243 245 246 246 246 247 248 249 249 251 251 253 254 254 255 256 257 257 258 260 263 263 263 264 267 268 271 273 274 276 277 279 280 281 281
Contents xii 15.5.2 Welch’s F Test................................................................. 15.5.3 Hotelling’s T2 Test........................................................... 15.6 Pairwise Comparisons: Unequal Variances............................... 15.6.1 Large-Sample Chi-Square Test ..................................... 15.6.2 Dunnett’s C Procedure .................................................. 15.6.3 Dunnett’s T3 Procedure.................................................. 15.6.4 Comparisons with a Control........................................... 15.6.5 Which Procedure to Choose........................................... 15.7 The Nature of Differences Found.............................................. 15.7.1 All Possible Pairwise Comparisons............................... 15.7.2 Comparisons with a Control........................................... 16 Selected Tests for Medians and More 16.1 Relevant Probability Distributions........................................... 16.1.1 Distribution of the Signed Rank Statistic................... 16.1.2 Distribution of the Rank Sum Statistic......................... 16.2 The One-Sample Sign Test ........................................................ 16.2.1 The Exact Test.................................................................. 16.2.2 The Normal Approximation............................................ 16.3 Paired Samples Sign Test........................................................... 16.4 Independent Samples Median Test........................................... 16.4.1 Equality of
Medians........................................................ 16.4.2 Pairwise Comparisons of Medians.................................. 16.5 Single Sample Signed Rank Test .............................................. 16.5.1 The Exact Test.................................................................. 16.5.2 The Normal Approximation............................................ 16.6 Paired Samples Signed Rank Test ........................................... 16.7 Rank Sum Test of Medians........................................................ 16.7.1 The Exact Mann-Whitney Test..................................... 16.7.2 The Normal Approximation........................................... 16.7.3 The Wilcoxon Rank Sum Test ..................................... 16.8 Using the Kruskal-Wallis Test to Test Medians...................... 16.9 Working with Ordinal Data........................................................ 16.9.1 Paired Samples................................................................. 16.9.2 Two Independent Samples.............................................. 16.9.3 More than Two Independent Samples......................... 16.9.4 Some Comments on the Use of Ordinal Data............ 17 Dependence and Independence 17.1 Assessing Bivariate Normality ................................................. 17.2 Pearson’s Correlation Coefficient............................................... 17.2.1 An Interval Estimate of p.............................................. 17.2.2 Testing the Significance of p........................................... 17.2.3 Testing a
Null Hypothesis with p0 փ 0......................... 17.3 Kendall’s Correlation Coefficient.............................................. 283 284 286 286 287 288 288 289 290 290 292 293 293 293 295 298 299 300 301 302 302 304 304 305 306 307 308 309 310 311 311 314 314 316 317 317 319 319 321 323 323 325 326
Contents 17.4 17.5 17.6 17.7 17.3.1 An Interval Estimate of r.............................................. 17.3.2 Exact Test of the Significance of r............................... 17.3.3 Approximate Test of the Significance of r................... Spearman’s Rank Correlation Coefficient ............................... 17.4.1 Exact Test of the Significance of ps ............................ 17.4.2 Approximate Test of the Significance ps...................... Correlations in General: Comments and Cautions ............... Chi-Square Testof Independence................................................ For the Curious: Distributionsof гк and rs .......................... xiii 327 327 328 329 330 331 331 332 333 Bibliography 335 Index 345
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| id | DE-604.BV045491347 |
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| indexdate | 2024-07-10T08:19:32Z |
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| isbn | 9781138329164 |
| language | English |
| lccn | 018030262 |
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| spelling | Hay-Jahans, Christopher Verfasser (DE-588)1022156896 aut R companion to elementary applied statistics Christopher Hay-Jahans Companion to elementary applied statistics Boca Raton CRC Press, Taylor & Francis Group 2019 xvii, 358 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Statistics Data processing R (Computer program language) R Programm (DE-588)4705956-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s R Programm (DE-588)4705956-4 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030876207&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hay-Jahans, Christopher R companion to elementary applied statistics Statistics Data processing R (Computer program language) R Programm (DE-588)4705956-4 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4056995-0 |
| title | R companion to elementary applied statistics |
| title_alt | Companion to elementary applied statistics |
| title_auth | R companion to elementary applied statistics |
| title_exact_search | R companion to elementary applied statistics |
| title_full | R companion to elementary applied statistics Christopher Hay-Jahans |
| title_fullStr | R companion to elementary applied statistics Christopher Hay-Jahans |
| title_full_unstemmed | R companion to elementary applied statistics Christopher Hay-Jahans |
| title_short | R companion to elementary applied statistics |
| title_sort | r companion to elementary applied statistics |
| topic | Statistics Data processing R (Computer program language) R Programm (DE-588)4705956-4 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistics Data processing R (Computer program language) R Programm Statistik |
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