Elements of statistics: an introduction to probability and statistical inference
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Van Nostrand
1975
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Ausgabe: | 2. ed. |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 431 S. graph. Darst. |
ISBN: | 0442214138 |
Internformat
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Datensatz im Suchindex
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adam_text | Titel: Elements of statistics
Autor: Byrkit, Donald R
Jahr: 1975
Cci ten{s PART I DESCRIPTIVE METHODS 1 Chapter 1 Organization and Presentation of Data 3 1.1 Frequency Distributions 3 1.2 Graphical Methods 11 1.3 Summary 19 Chapter 2 Measures of Location and Dispersion 22 2.1 Measures of Central Tendency 22 2.2 Measures of Dispersion 31 2.3 Other Measures of Location and Comparison 42 2.4 Summary 45 PART II PROBABILITY AND PROBABILITY DISTRIBUTIONS 49 Chapter 3 Probability 51 3.1 Probabilities 51 3.2 Permutations and Combinations 56 3.3 Rules of Probability 61 3.4 Independent Events and Conditional Probability 69 3.5 Summary 78 vii
viii Contents Chapter 4 Probability Distributions 84 4.1 The General Probability Distribution 84 4.2 Expected Value 89 4.3 Mean and Variance of a Probability Distribution 94 4.4 Summary 100 PART III THE BINOMIAL AND NORMAL DISTRIBUTIONS 103 Chapter 5 The Binomial Distribution 105 5.1 The Binomial Distribution 105 5.2 Applications of the Binomial Distribution 112 5.3 Using Binomial Tables (optional) _ 115 5.4 The Binomial Model in Hypothesis Testing 119 5.5 Other Important Distributions (optional) 123 5.6 Summary 130 Chapter 6 The Normal Distribution 134 6.1 Continuous and Discrete Variables 134 6.2 Normal Distributions 137 6.3 Applications of the Normal Distribution 149 6.4 The Normal Approximation to the Binomial 154 6.5 More on Hypothesis Testing 159 6.6 Summary 161 PART IV SAMPLES 165 Chapter 7 Sampling and Sampling Distributions 167 7.1 Samples 167 7.2 Parameters and Statistics 171 7.3 Sampling Distributions 174 7.4 Summary 178 Chapter 8 Estimation of Parameters 181 8.1 Point Estimation 181 8.2 Confidence Intervals for the Population Mean 186
Contents ix 8.3 Confidence Intervals Obtained from Small Samples 190 8.4 Confidence Intervals for Proportions 194 8.5 Summary 198 PART V DECISIONS 203 Chapter 9 Hypothesis Testing 205 9.1 Experimental Error 205 9.2 Formulating Hypotheses to Control Error 207 9.3 Tests of Significance 213 9.4 Summary 216 Chapter 10 Tests Concerning Means and Proportions 219 10.1 Means of One Large Sample 219 10.2 Means of One Small Sample 227 10.3 Proportions in a Sample 232 10.4 Differences between Means 234 10.5 Differences between Proportions 242 10.6 Summary 245 Chapter 11 The Chi-Square Distribution 251 11.1 Proportions 251 11.2 Contingency Tables 256 11.3 Curve Fitting 262 11.4 Summary 267 Chapter 12 Analysis of Variance 270 12.1 Basic Assumptions for Analysis of Variance 270 12.2 Estimating Population Variance 271 12.3 Other Methods for Analysis of Variance 278 12.4 Summary 283 Chapter 13 Correlation and Regression 287 13.1 The Coefficient of Correlation 287 13.2 Significance of the Correlation Coefficient 296 13.3 Linear Prediction—Regression 301 13.4 Summary 306
x Contents Appendix A Mathematics Review 311 Decimals 311 Fractions 313 Exponents 315 Signed Numbers 315 Order Relations 316 Square Roots 316 Linear Equations 318 Appendix B Nonparametric Tests 323 The Signs Test 324 The Wilcoxon 7-Test 328 The Mann-Whitney ¿/-Test 331 The Kruskal-Wallis H -Test 334 Summary 336 Tables 338 Answers 377 Index 427
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isbn | 0442214138 |
language | English |
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spelling | Byrkit, Donald R. Verfasser aut Elements of statistics an introduction to probability and statistical inference Donald R. Byrkit 2. ed. New York [u.a.] Van Nostrand 1975 X, 431 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021998429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Byrkit, Donald R. Elements of statistics an introduction to probability and statistical inference |
title | Elements of statistics an introduction to probability and statistical inference |
title_auth | Elements of statistics an introduction to probability and statistical inference |
title_exact_search | Elements of statistics an introduction to probability and statistical inference |
title_full | Elements of statistics an introduction to probability and statistical inference Donald R. Byrkit |
title_fullStr | Elements of statistics an introduction to probability and statistical inference Donald R. Byrkit |
title_full_unstemmed | Elements of statistics an introduction to probability and statistical inference Donald R. Byrkit |
title_short | Elements of statistics |
title_sort | elements of statistics an introduction to probability and statistical inference |
title_sub | an introduction to probability and statistical inference |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021998429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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