Introduction to probability and statistics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Francisco
Freeman
1977
|
| Edition: | 6. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 426 S. graph. Darst. |
| ISBN: | 0716704722 0716704676 |
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| 245 | 1 | 0 | |a Introduction to probability and statistics |c Henry L. Alder , Edward B. Roessler |
| 250 | |a 6. ed. | ||
| 264 | 1 | |a San Francisco |b Freeman |c 1977 | |
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| 650 | 4 | |a Probabilités | |
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Record in the Search Index
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| adam_text | Contents
Preface ix
1 Introduction 1
2 Organization of Data 6
2.1 Introduction 6
2.2 Tabular and Graphical Methods of Presenting Data 6
2.3 Frequency Distributions and Their Tabular and
Graphical Representations 16
3 Summation Notation 24
4 Analysis of Data 31
4.1 Introduction 31
4.2 Measures of Central Tendency 32
4.3 Measures of Dispersion 44
5 Elementary Probability, Permutations, and
Combinations 58
5.1 Definition of Probability 58
5.2 Expectation 64
5.3 Three Elementary Probability Laws 65
5.4 Conditional Probability 74
5.5 Combinations and Permutations 77
5.6 Repeated Trials 82
vi Contents
6 The Binomial Distribution (and Other Discrete
Distributions) 98
6.1 The Binomial Probability Distribution and Theoretical
Frequency Distribution 98
6.2 Probability Distributions and Theoretical Frequency
Distributions in General 103
6.3 The Mean and Standard Deviation of a Binomial
Distribution 106
6.4 Histogram of a Binomial Distribution 110
7 The Normal Distribution (and Poisson Distribution) 113
7.1 The Normal Distribution as an Approximation of the
Binomial Distribution 113
7.2 The Poisson Distribution as an Approximation of the
Binomial Distribution 120
7.3 The Normal Frequency Distribution as a Limit of a
Frequency Distribution of a Continuous Variable 122
7.4 Probability Density Functions of a Continuous Variable
in General 125
7.5 Special Areas Under the Normal Curve 126
7.6 Grading on the Curve 127
8 Random Sampling. Large Sample Theory 134
8.1 Introduction 134
8.2 Distribution of the Sample Mean 138
8.3 Distribution of the Sample Standard Deviation 142
8.4 Distribution of the Difference Between Two Sample
Means 143
8.5 Standard Error 146
9 Testing Hypotheses, Significance Levels, Confidence
Limits. Large Sample Methods 150
9.1 Testing Hypotheses 150 .
9.2 Confidence Limits 161
9.3 Determining the Size of the Sample in Surveys 163
10 Student s f Distribution. Small Sample Methods 171
10.1 Estimate of the Standard Deviation of the
Population 171
10.2 Student s ^ Distribution 173
10.3 The Distribution of the Mean 174
10.4 The Distribution of the Difference Between Means 178
10.5 The Case of Paired Variates 181
Contents vii
11 Nonparametric Statistics 192
11.1 Introduction 192
11.2 The Wilcoxon Two Sample Test for the Unpaired
Case 193
11.3 The Sign Test for the Paired Case 202
11.4 The Wilcoxon Test for the Paired Case 204
12 Regression and Correlation 213
12.1 Introduction 213
12.2 The Linear Regression Equation 215
12.3 The Standard Error of Estimate 226
12.4 The Correlation Coefficient 228
12.5 Significance of a Correlation Coefficient 234
12.6 The Linear Regression Equation when Variables Are
Changed 240
12.7 Comparison of Regression Line of Fon I with That
of Ion Y 241
12.8 Lines of Regression Through the Origin 243
12.9 Exponential and Power Curves 243
12.10 Polynomial Regression 245
12.11 Multiple Regression 245
13 Chi Square Distribution 252
13.1 Definition 252
13.2 Distribution of Chi Square 253
13.3 Application to Genetics 255
13.4 Application to Contingency Tables 256
13.5 Application to Testing for Normality 262
13.6 Adjusted Chi Square 263
14 Index Numbers 274
14.1 Introduction 274
14.2 Selection of the Base Period 275
14.3 Simple Index Numbers 275
14.4 Weighted Index Numbers 277
15 Time Series 282
15.1 Introduction 282
15.2 The Secular Trend 284
15.3 The Seasonal Variation 292
15.4 The Cyclical Fluctuation 301
16 The F Distribution 308
16.1 Definition 308
16.2 Testing the Homogeneity of Two Variances 312
viii Contents
17 The Analysis of Variance 318
17.1 The Analysis of Variance with One Criterion of
Classification (One Way Analysis of Variance).
Introduction 318
17.2 Partitioning of the Sum of Squares, Equal Sample
Sizes 319
17.3 Partitioning of the Sum of Squares, Unequal Sample
Sizes 324
17.4 Comparison of Variances in Analysis of Variance
Table, Equal Sample Sizes 326
17.5 The Least Significant Difference 330
17.6 Duncan s New Multiple Range Test 333
17.7 Comparison of Variances in Analysis of Variance
Table, Unequal Sample Sizes 335
17.8 The Special Case of Two Samples 337
17.9 Assumptions Made in the Analysis of Variance with
One Criterion of Classification 339
17.10 Two Criteria of Classification (Two Way Analysis of
Variance). The Randomized Complete Block Design 340
17.11 Transformations 344
Appendix 355
Selected Readings 356
Table I. Areas Under the Normal Probability Curve 361
Table la. Ordinates for the Normal Probability Curve 364
Table II. Poisson Distribution 367
Table III. Student s ^ Distribution 368
Table IV. Wilcoxon Distribution (with no pairing) 369
Table V. Wilcoxon Distribution (with pairing) 370
Table VI. Transformation of r to Z 372
Table VII. Chi Square Distribution 373
Table VIII. F Distribution 375
Table IX. Duncan s New Multiple Ranges 381
Table X. Transformation of Percentage to Arcsin
VPercentage 383
Table XI. Squares and Square Roots 386
Review Exercises 397
Answers to Odd Numbered Exercises 413
Index 419
|
| any_adam_object | 1 |
| author | Alder, Henry Ludwig 1922- Roessler, Edward B. 1902-1993 |
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| edition | 6. ed. |
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| isbn | 0716704722 0716704676 |
| language | English |
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| spelling | Alder, Henry Ludwig 1922- Verfasser (DE-588)1063665191 aut Introduction to probability and statistics Henry L. Alder , Edward B. Roessler 6. ed. San Francisco Freeman 1977 XII, 426 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Probabilités Statistique Statistik Probabilities Statistics Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s 2\p DE-604 Roessler, Edward B. 1902-1993 Verfasser (DE-588)172335043 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001251926&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alder, Henry Ludwig 1922- Roessler, Edward B. 1902-1993 Introduction to probability and statistics Probabilités Statistique Statistik Probabilities Statistics Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4064324-4 (DE-588)4137007-7 (DE-588)4151278-9 |
| title | Introduction to probability and statistics |
| title_auth | Introduction to probability and statistics |
| title_exact_search | Introduction to probability and statistics |
| title_full | Introduction to probability and statistics Henry L. Alder , Edward B. Roessler |
| title_fullStr | Introduction to probability and statistics Henry L. Alder , Edward B. Roessler |
| title_full_unstemmed | Introduction to probability and statistics Henry L. Alder , Edward B. Roessler |
| title_short | Introduction to probability and statistics |
| title_sort | introduction to probability and statistics |
| topic | Probabilités Statistique Statistik Probabilities Statistics Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| topic_facet | Probabilités Statistique Statistik Probabilities Statistics Wahrscheinlichkeitsrechnung Wahrscheinlichkeit Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001251926&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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