Introduction to statistical methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass. [u.a.]
Addison-Wesley
1975
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| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | Getr. Zählung graph. Darst. |
| ISBN: | 0201027526 |
Staff View
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| 245 | 1 | 0 | |a Introduction to statistical methods |c Donald L. Harnett |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Chapter 1 Introduction and Descriptive Statistics
1.1 Statistics and statistical analysis 1
Descriptive Statistics 5
1.2 Graphical forms 5
1.3 Central location 12
1.4 Measures of dispersion 16
1.5 Other measures 25
1.6 Summary 31
Chapter 2 Probability Theory: Discrete Sample Spaces
2.1 Introduction 36
2.2 Introduction to set theory 39
2.3 Probability fundamentals 46
2.4 Probability rules for a complement and a union 50
2.5 Rules involving conditional probabilities 53
2.6 Independent events 56
2.7 Summary of probability rules 58
2.8 Marginal probability 59
2.9 Application of probability theory: An example 61
2.10 Bayes rule 64
2.11 Probabilities of repeated trials 68
*2.12 Extensions of the rules for permutations and combinations 76
Chapter 3 Probability Theory: Random Variables
3.1. Introduction 86
3.2 Discrete random variables 89
3.3 Continuous random variables 94
3.4 Approximating a discrete random variable by a continuous random
variable 101
3.5 Discrete bivariate probability 104
vii
viii Contents
3.6 Expected value: The discrete case 108
3.7 Expected value: The continuous case 112
3.8 Expectation rules 114
*3.9 Bivariate expectations 118
*3.10 Continuous bivariate probability 123
Chapter 4 Discrete Probability Distributions
4.1 Introduction 131
4.2 Hypergeometric distribution 131
4.3 The binomial distribution 133
4.4 The Poisson distribution 145
4.5 Poisson approximation to the binomial 152
*4.6 Derivation of the Poisson mean and variance 154
Chapter 5 Continuous Probability Distributions
5.1 Introduction 160
5.2 The normal distribution 160
5.3 Standardized normal 165
5.4 Normal approximation to the binomial 172
5.5 Exponential distribution 175
5.6 The chi square distribution 180
Chapter 6 Sampling and Sampling Distributions
6.1 Introduction 189
6.2 Sample designs 189
6.3 Sample mean and sample variance 196
6.4 Sampling distribution of x, with a known 199
6.5 Sampling distribution of x, normal population, with a known 203
6.6 Sampling distribution of x, population distribution unknown,
with a known 206
6.7 Finite population correction factor 210
6.8 Sampling distribution of x, normal population, x unknown 211
6.9 Sampling distribution of s2, normal population 216
6.10 The / distribution 220
6.11 Summary 223
Chapter 7 Estimation
7.1 Introduction 229
7.2 Properties of estimators 231
7.3 The method of maximum likelihood 237
7.4 Interval estimation 243
7.5 Confidence intervals for n, with a known 246
7.6 Confidence intervals for ft, with a unknown 249
Contents ix
7.7 Confidence intervals for the binomial parameter p, using the normal
approximation 251
7.8 Determining the size of n 253
*7.9 Confidence interval for t2 256
7.10 Summary 258
Chapter 8 Hypothesis Testing
8.1 Introduction 263
8.2 Type I and type II errors 266
8.3 Balancing the risks of making an incorrect decision 272
8.4 Balancing the risks and costs of making a wrong decision 274
8.5 The power function of a critical region 278
8.6 Testing hypotheses 281
8.7 One sample tests about fi (with a known) 282
8.8 One sample tests about /* (with a unknown) 288
8.9 Two sample tests about n (at and a2 known) 291
8.10 Two sample tests about n (u, and r2 unknown) 292
8.11 A f test for matched pairs 295
8.12 Testing the binomial parameter p 298
8.13 Summary 301
Chapter 9 Statistical Decision Theory
9.1 Introduction 307
9.2 Certainty vs. uncertainty 308
9.3 Criteria for decision making under uncertainty 309
9.4 The revision of probabilities 313
9.5 The value of information 317
9.6 Determining the optimal sample size 322
9.7 Decision making under uncertainty: An example 328
*9.8 Bayes rule for normal distributions 335
9.9 Inference and decision 338
9.10 Utility 341
Chapter 10 Simple Linear Regression
10.1 Introduction 357
10.2 Assumptions and estimation 364
10.3 Estimating the values of a and P by least squares 366
10.4 The standard error of the estimate 375
10.5 Test of the significance of the sample regression line 379
10.6 Constructing a forecast interval 384
Chapter 11 Simple Linear Correlation
11.1 Introduction 392
11.2 The simple linear correlation model 393
11.3 Sample correlation coefficient and coefficient of determination 395
x Contents
11.4 The relationship between correlation and regression 398
11.5 Tests on the correlation coefficient 400
11.6 A sample problem 403
Chapter 12 Multiple Regression and Correlation
12.1 Multiple linear regression: The population 409
12.2 Ideal assumptions for the multiple regression model 411
12.3 Multiple least squares estimation 412
12.4 Multiple standard error of the estimate 415
12.5 Tests for multiple linear regression 416
*12.6 Least squares regression in matrix form 418
*12.7 Nonlinear relationships 420
12.8 Multiple linear correlation 422
12.9 Multiple linear regression: An example 426
Chapter 13 Time Series and Index Numbers
13.1 Introduction to time series 439
13.2 Linear trend 442
13.3 Nonlinear trends 445
13.4 Moving averages to smooth a time series 452
13.5 Estimation of seasonal and cyclical components 455
*13.6 An exponential smoothing model 463
13.7 Index numbers 465
13.8 Price index numbers 468
13.9 Economic indexes and their limitations 473
Chapter 14 Analysis of variance
14.1 Introduction 486
14.2 The simple one factor model 487
14.3 The F test in the analysis of variance 490
14.4 Computational forms for the one factor model 495
14.5 Multiple comparisons 498
14.6 The two factor model 500
14.7 Inferences in the two factor model 503
14.8 Computational forms for the two factor model 506
14.9 Experimental design 510
14.10 Regression and analysis of variance: The general linear model 512
Chapter 15 Nonparametric Statistics
15.1 Introduction 518
15.2 Measurement 518
15.3 Parametric vs. nonparametric tests 520
15.4 Tests equivalent to the f test for independent samples 521
15.5 Tests equivalent to the f test for matched pairs 525
Contents xi
15.6 Goodness of fit tests 529
15.7 Chi square test for independence 534
15.8 Nonparametric measures of correlation 538
Selected Bibliography 550
Glossary of Undefined Symbols 552
Appendix A Calculus Review A 1
Appendix B Tables A 9
Table I Binomial distribution A 11
II Poisson distribution A 23
III Cumulative normal distribution A 27
IV Exponential distribution A 28
V Critical values of the chi square distribution A 29
VI Random digits A 33
VII Critical values of the f distribution A 34
VIII a) Critical values of the f distribution (o= 0.05) A 36
b) Critical values of the F distribution (a= 0.01) A 38
IX Values of z = In —tl A 40
X Critical values of r in the runs test A 41
XI Critical values of T for the Wilcoxon matched pairs signed ranks test.. A 42
XII Critical values ofZ) in the Kolmogorov Smirnov one sample test A 43
Answers to Selected Exercises A 45
Index I 1
|
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| discipline | Mathematik |
| edition | 2. ed. |
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| spelling | Harnett, Donald L. Verfasser aut Introduction to statistical methods Donald L. Harnett 2. ed. Reading, Mass. [u.a.] Addison-Wesley 1975 Getr. Zählung graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistique mathématique Mathematical statistics Statistik (DE-588)4056995-0 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s Methode (DE-588)4038971-6 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007769372&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 | Harnett, Donald L. Introduction to statistical methods Statistique mathématique Mathematical statistics Statistik (DE-588)4056995-0 gnd Methode (DE-588)4038971-6 gnd |
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| title | Introduction to statistical methods |
| title_auth | Introduction to statistical methods |
| title_exact_search | Introduction to statistical methods |
| title_full | Introduction to statistical methods Donald L. Harnett |
| title_fullStr | Introduction to statistical methods Donald L. Harnett |
| title_full_unstemmed | Introduction to statistical methods Donald L. Harnett |
| title_short | Introduction to statistical methods |
| title_sort | introduction to statistical methods |
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| topic_facet | Statistique mathématique Mathematical statistics Statistik Methode Einführung |
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