General statistics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
Addison-Wesley
1973
|
| Edition: | 2. ed. |
| Series: | World student series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 401 S. |
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| 245 | 1 | 0 | |a General statistics |c Audrey Haber ; Richard P. Runyon |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a London u.a. |b Addison-Wesley |c 1973 | |
| 300 | |a XIII, 401 S. | ||
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Record in the Search Index
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| adam_text | CONTENTS
SECTION I—DESCRIPTIVE STATISTICS
Chapter 1 The Definition of Statistical Analysis
1.1 Introduction 3
1.2 Definitions of common terms used in statistics 4
1.3 Descriptive statistics 5
1.4 Inferential statistics 8
1.5 Lying with statistics 8
1.6 A word to the student 11
Chapter summary 12
Chapter 2 Basic Mathematical Concepts
2.1 Introduction 16
2.2 The grammar of mathematical notation 16
2.3 Summation rules 18
2.4 Types of numbers 19
2.5 Types of scales 20
2.6 Continuous and discontinuous scales 24
2.7 Rounding 26
2.8 Ratios, frequencies, proportions, and percentages 28
Chapter summary 33
Chapter 3 Frequency Distributions
3.1 Grouping of data 39
3.2 Cumulative frequency and cumulative percentage distributions . 44
Chapter summary 45
Chapter 4 Graphing Techniques
4.1 Introduction 51
4.2 Misuse of graphing techniques 51
ix
x Contents
4.3 Nominally scaled variables 53
4.4 Ordinally scaled variables 54
4.5 Interval and ratio scaled variables 55
4.6 Forms of frequency curves 57
4.7 Pie charts 59
4.8 Other graphic representations 62
Chapter summary 63
Chapter 5 Percentiles
5.1 Introduction 70
5.2 Cumulative percentiles and percentile rank 70
5.3 Percentile rank and reference group 75
Chapter summary 75
Chapter 6 Measures of Central Tendency
6.1 Introduction 83
6.2 The arithmetic mean 84
6.3 The median 91
6.4 The mode 92
6.5 Comparison of mean, median, and mode 92
6.6 The mean, median, and skewness 94
Chapter summary 94
Chapter 7 Measures of Dispersion
7.1 Introduction 100
7.2 The range 103
7.3 The interquartile range 103
7.4 The mean deviation 104
7.5 The variance (s2) and standard deviation (s) 106
7.6 Interpretation of the standard deviation Ill
Chapter summary Ill
Chapter 8 The Standard Deviation and the Standard Normal Distribution
8.1 Introduction 118
8.2 The concept of standard scores 118
8.3 The standard normal distribution 120
8.4 Illustrative problems 122
8.5 The standard deviation as an estimate of error 126
8.6 The coefficient of variation 126
Chapter summary 128
Chapter 9 Correlation
9.1 The concept of correlation 133 ,
9.2 Pearson r and z-ecores 135
Contents xi
9.3 Calculation of Pearson r 136
9.4 A word of caution 139
9.5 Ordinally scaled variables and rrho 141
Chapter summary 143
Chapter 10 Regression and Prediction
10.1 Introduction to prediction 152
10.2 Linear regression 153
10.3 Residual variance and standard error of estimate 160
10.4 Explained and unexplained variation 163
10.5 Correlation and causation 165
Chapter summary 166
Review of Section I 173
SECTION II—INFERENTIAL STATISTICS
A. Parametric Tests of Significance
Chapter 11 Probability
11.1 An introduction to probability theory 177
11.2 The concept of randomness 180
11.3 Approaches to probability 182
11.4 Formal properties of probabilities 184
11.5 Probability and continuous variables 191
11.6 Probability and the normal curve model 191
11.7 One- and two-tailed p values 193
Chapter summary 193
Chapter 12 Introduction to Statistical Inference
12.1 Why sample? 202
12.2 The concept of sampling distributions 203
12.3 Binomial distribution 204
12.4 Testing statistical hypotheses: level of significance 208
12.5 Testing statistical hypotheses: null hypothesis and alternative
hypothesis 210
12.6 Testing statistical hypotheses: the two types of error .... 212
Chapter summary 214
Chapter 13 Statistical Inference and Continuous Variables
13.1 Introduction 218
13.2 Sampling distribution of the mean 218
13.3 Testing statistical hypotheses: parameters known 220
13.4 Estimation of parameters: point estimation 222
13.5 Testing statistical hypotheses with unknown parameters:
Student s t 225
xii Contents
13.6 Estimation of parameters: interval estimation 228
13.7 Confidence intervals and confidence limits 229
13.8 Test of significance for Pearson r, one-sample case 232
Chapter summary 234
Chapter 14 Statistical Inference with Two Independent Samples
14.1 Sampling distribution of the difference between means . . . 240
14.2 Estimation of axi-x2 frcrai sample data 241
14.3 Testing statistical hypotheses: Student s t . . 242
14.4 The 2-ratio and homogeneity of variance 244
Chapter summary 246
Chapter 16 Statistical Inference with Correlated Samples
15.1 Introduction 252
15.2 Standard error of the difference between means for correlated
groups 253
15.3 The direct-difference method: Student s i-ratio 255
15.4 Sandler s A-statistic 258
Chapter summary 258
Chapter 16 An Introduction to the Analysis of Variance
16.1 Multigroup comparisons 264
16.2 The concept of sums of squares 266
16.3 Obtaining variance estimates 269
16.4 Fundamental concepts of analysis of variance 270
16.5 An example involving three groups 270
16.6 The interpretation of F 272
16.7 Within-group variance and homogeneity 274
Chapter summary 274
SECTION II—INFERENTIAL STATISTICS
B. Nonparametric Tests of Significance
Chapter 17 Statistical Inference with Categorical Variables
17.1 Introduction 281
17.2 The binomial test 282
17.3 Normal curve approximation to binomial values , . . . . 284
17.4 The X2 one-variable case 285
17.5 The X2 test of the independence of categorical variables . . . 287
17.6 Limitations in the use of X2 291
Chapter summary 292 j
Contents xiii
Chapter 18 Statistical Inference with Ordinally Scaled Variables
18.1 Introduction 296
18.2 Mann-Whitney U-test 296
18.3 Nonparametric tests involving correlated samples 300
18.4 The sign test 300
18.5 Wilcoxon matched-pairs signed-rank test 302
Chapter summary 303
Review of Section II—Inferential Statistics 307
References 309
Appendixes
I. Review of basic mathematics 313
II. Glossary of symbols 321
III. Glossary of terms 326
IV. List of formulas 331
V. Tables 335
Answers to Selected Exercises 371
Index 393
|
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| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T16:04:15Z |
| institution | BVB |
| language | English |
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| physical | XIII, 401 S. |
| psigel | TUB-nveb |
| publishDate | 1973 |
| publishDateSearch | 1973 |
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| publisher | Addison-Wesley |
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| series2 | World student series |
| spelling | Haber, Audrey Verfasser aut General statistics Audrey Haber ; Richard P. Runyon 2. ed. London u.a. Addison-Wesley 1973 XIII, 401 S. txt rdacontent n rdamedia nc rdacarrier World student series Statistical mathematics Mathematical statistics Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s DE-604 Runyon, Richard P. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002363551&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haber, Audrey Runyon, Richard P. General statistics Statistical mathematics Mathematical statistics Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4151278-9 |
| title | General statistics |
| title_auth | General statistics |
| title_exact_search | General statistics |
| title_full | General statistics Audrey Haber ; Richard P. Runyon |
| title_fullStr | General statistics Audrey Haber ; Richard P. Runyon |
| title_full_unstemmed | General statistics Audrey Haber ; Richard P. Runyon |
| title_short | General statistics |
| title_sort | general statistics |
| topic | Statistical mathematics Mathematical statistics Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistical mathematics Mathematical statistics Statistik Einführung |
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