Introduction to statistics: a nonparametric approach
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Houghton Mifflin
1976
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 292 S. graph. Darst. |
| ISBN: | 0395185785 |
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MARC
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Record in the Search Index
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| adam_text | CONTENTS
Editor s Introduction to First Edition xi
Preface to Second Edition xiii
1 What is Statistics? 1
The Taxi Problem 2
Assumptions 6
Medians 7
Problems 8
2 The Meaning of Probability 12
The Frequency Interpretation 12
Random Numbers 14
Problems 15
3 Probability: Some Basic Results 17
The Addition Theorem of Probability 19
Conditional Probabilities 21
Independent Events 22
Another Look at Random Numbers 26
The Taxi Problem Revisited 30
Problems 32
4 Binomial Probabilities 36
Binomial Probabilities 37
A General Formula 39
Problems 41
5 The Normal Distribution 44
An Approximation for Binomial Probabilities 44
Areas Under the Normal Curve 48
Normal Approximation for Binomial Probabilities 55
Problems 58
6 Estimation 61
A Point Estimate for p 61
Interval Estimates 66
Problems 72
7 Tests of Hypotheses 76
Basic Ideas 76
Finding a Critical Region 80
Type 1 and Type 2 Errors 82
The Power Curve 85
Sample Size 87
Two sided Alternatives 88
Normal Approximations 90
Summary Remarks 92
Problems 93
8 To Test or Not to Test 97
Descriptive Levels 97
Tests of Hypotheses and Confidence Intervals 100
Problems 102
9 Chi square Tests 104
The Chi square Statistic 105
Two Examples 108
Problems 109
10 Tests of Homogeneity and
Independence 112
A Test of Homogeneity 114
A Test of Independence 118
Problems 120
11 The Statistical Analysis of Quantitative
Data 124
Nonparametric and Normal Theory Methods 125
A Look Ahead 126
Problems 127
12 One sample Methods 128
Confidence Intervals for Medians 128
Tests of Hypotheses about Medians 135
Nonparametric Procedures and Tied Observations 141
Problems 144
13 Comparative Experiments: Paired
Observations 149
Comparative Experiments 149
The Analysis of Paired Observations 153
Problems 155
14 Comparative Experiments: Two Independent
Samples 159
The Median Test 161
The Wilcoxon Two sample Test 162
Confidence Intervals for a Shift Parameter 168
Problems 171
15 Comparative Experiments: k Samples 175
The Kruskal Wallis Test 175
The Friedman Test 181
Completely Randomized and Randomized Block
Designs 183
Paired Comparisons 184
Problems 186
16 Randomness, Independence, and Rank
Correlation 192
A Test of Randomness against a Monotone Trend 193
A Test of Independence 195
Rank Correlation 198
Problems 203
17 One sample Problems for Normal
Populations 208
Point Estimates for the Parameters of a Normal
Distribution 208
Confidence Intervals for the Mean of a Normal
Distribution 211
Tests of Hypotheses about the Mean of a Normal
Distribution 212
The Central Limit Theorem 213
Inference Procedures for the Standard Deviation 214
Problems 216
18 Two sample Problems for Normal
Populations 219
Paired Observations 220
A Generalization 221
Independent Samples 222
Problems 224
19 k Sample Problems for Normal Populations 226
Problems 230
20 Regression and Correlation 231
Linear Regression 232
The Correlation Coefficient r 238
A Test of Independence 239
Chance Fluctuations in x and y 240
General Regression Models 241
Problems 242
Appendix 245
Summation Notation 245
Events and Simple Events 246
Random Variables 247
Expected Value and Variance of Sums of Two Random
Variables 251
Problems 254
Tables 255
Bibliography 283
Answers to Selected Problems 285
Index 288
|
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| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| indexdate | 2024-07-09T15:56:35Z |
| institution | BVB |
| isbn | 0395185785 |
| language | English |
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| physical | XV, 292 S. graph. Darst. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
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| spelling | Noether, Gottfried Emanuel 1915-1991 Verfasser (DE-588)139022848 aut Introduction to statistics a nonparametric approach Gottfried E. Noether 2. ed. Boston [u.a.] Houghton Mifflin 1976 XV, 292 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Non-parametrische statistiek gtt Statistique Statistik Statistics Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002032335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Noether, Gottfried Emanuel 1915-1991 Introduction to statistics a nonparametric approach Non-parametrische statistiek gtt Statistique Statistik Statistics Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4151278-9 |
| title | Introduction to statistics a nonparametric approach |
| title_auth | Introduction to statistics a nonparametric approach |
| title_exact_search | Introduction to statistics a nonparametric approach |
| title_full | Introduction to statistics a nonparametric approach Gottfried E. Noether |
| title_fullStr | Introduction to statistics a nonparametric approach Gottfried E. Noether |
| title_full_unstemmed | Introduction to statistics a nonparametric approach Gottfried E. Noether |
| title_short | Introduction to statistics |
| title_sort | introduction to statistics a nonparametric approach |
| title_sub | a nonparametric approach |
| topic | Non-parametrische statistiek gtt Statistique Statistik Statistics Statistik (DE-588)4056995-0 gnd |
| topic_facet | Non-parametrische statistiek Statistique Statistik Statistics Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002032335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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