The statistics problem solver:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York, NY
1987
|
| Edition: | Rev. print. |
| Series: | Problem solver
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 1044 S. graph. Darst. |
| ISBN: | 087891515X |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
Chapter No. Page No.
1 DESCRIPTIVE STATISTICS 1
Graphs and Frequency Distributions 1
Measures of Central Tendency 9
Measures of Dispersion 16
Measures of Grouped Data 30
Moments, Skewness, Kurtosis 51
2 ELEMENTARY PROBABILITY AND STATISTICS 56
Fundamental Principle of Counting 56
Permutations 57
Combinations 60
Venn Diagrams 62
Classical Model of Probability 65
Conditional Probability 76
Bayes1 Theorem 96
Random Sampling 99
3 PROBABILITY DISTRIBUTIONS 103
Discrete Distributions 103
Geometric Density Function 106
Poisson Density Function 108
Continuous Distributions 109
Uniform Density Function 114
Exponential Density Function 116
4 THE BINOMIAL DISTRIBUTION 118
Derivation of the Binomial Distribution 118
Cumulative Binomial Probabilities 146
Multinomial Distribution 151
5 JOINT DISTRIBUTIONS 158
Discrete Joint Distributions 158
Continuous Joint Distributions 165
6 FUNCTIONS OF RANDOM VARIABLES 177
Change of Variable Technique 177
Moment Generating Function Technique 183
Distribution Functions 186
ix
Convolutions 203
Multivariate Functions 206
7 EXPECTED VALUE 219
For Discrete Random Variables 219
For Continuous Random Variables 228
For Functions of Random Variables 238
General Rules of Expectation 244
Conditional Expectation and Expected Value of
Multivariate Densities 247
Variance of Discrete Random Variables 255
Variance of Continuous Random Variables 261
Covariance and Correlation 266
8 MOMENT GENERATING FUNCTION 275
Discrete Random Variables 275
Continuous Random Variables 283
9 CHEBYSHEV S INEQUALITY 289
10 SPECIAL DISCRETE DISTRIBUTIONS 295
Uniform Distribution 295
Geometric Distribution 296
Poisson Distribution 299
Hypergeomtric Distribution 313
11 NORMAL DISTRIBUTIONS 317
Areas Under the Standard Normal Curve 317
Conversions and Applications of
Standard Normal Variables 320
Normal Approximation to the Binomial Distribution 346
Additional Applications 364
12 SPECIAL CONTINUOUS DISTRIBUTIONS 369
Uniform Distribution 369
Exponential Distribution 374
Gamma Distribution 379
13 SAMPLING THEORY 382
Random Samples 382
Weak Law of Large Numbers 386
The Central Limit Theorem and Distribution of
the Sample Mean 387
The Chi Square, t, and F Distributions 396
The t Test 404
The F Distribution 407
The Sampling of Order Statistics 415
14 CONFIDENCE INTERVALS 420
Mean of a Normal Distribution With Known Variance 423
Difference of Means of Normal Populations
With Known Variance 430
x
Large Samples With Mean of Unknown Variance 437
Small Samples With Mean of Unknown Variance 447
Difference of Means With Unknown Variances 460
Variances 470
Ratio of Variances 476
Proportions 480
Difference of Proportions 494
Bayesian Confidence Interval 502
15 POINT ESTIMATION 506
Estimating the Population Variance 506
The Method of Moments 509
Maximum Likelihood Estimators 512
Unbiased Estimators 530
Sufficient Statistics 539
Consistent Statistics 553
Completeness 556
The Cramer Rao Inequality and Efficiency 557
Bayesian Estimation 566
16 HYPOTHESIS TESTING 570
Level of Significance 570
Means: Large Samples 571
Means: Small Samples 580
Differences Between Means: Z Tests 587
Differences Between Means: t Tests 594
Proportions 608
Differences Between Proportions 613
The Normal Approximation to the Binomial 621
Variances 626
Differences Between Variances 630
Tests Involving the Poisson Distribution 637
Combining Results of Different Samples 638
Type II Errors 640
The Power of a Test 655
Likelihood Ratio Test for the Best Critical Region 659
17 REGRESSION AND CORRELATION ANALYSIS 665
Simple Regression 665
Linear Correlation 680
Spearman s Rank Correlation 699
Fisher s Z Transformation 708
Properties of the Regression Coefficients 720
Applications of Regression and Correlation Analysis 734
Factor Analysis 760
18 ANALYSIS OF VARIANCE 767
One Way Anova 767
Two Way Anova 787
Random Effects Model 803
19 CHI SQUARE AND CONTINGENCY TABLES 809
xi
Contingency Tables 809
Chi Square Tests and Contingency Tables 811
Fisher s Test and 2X2 Tables 823
Yate s Correction and 2X2 Tables 827
Chi Square Tests 833
20 NON PARAMETRIC METHODS 864
Sign Test 864
Confidence Intervals for Quantiles 868
Tolerance Limits 871
Kolmogorov Smirnov Statistic 876
Wilcoxon s Sum of Ranks Test (Mann Whitney
Rank Sum Test) 883
The Wilcoxon Signed Rank Test 894
The Wilcoxon Stratified Test 894
Spearman s Rank Correlation Test 904
The Kruskal Wallis Test 914
Cochran s Test 924
Runs Test 928
21 TIME SERIES AND INDEX NUMBERS 933
Period Ratios 933
Price Indices 935
Time Series 940
22 BUSINESS AND ECONOMIC APPLICATIONS 955
23 BIOLOGICAL APPLICATIONS 984
24 MISCELLANEOUS APPLICATIONS 1004
INDEX 1030
xii
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| ctrlnum | (OCoLC)16733801 (DE-599)BVBBV008809646 |
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| indexdate | 2024-07-09T17:25:24Z |
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| institution_GND | (DE-588)515403-0 |
| isbn | 087891515X |
| language | English |
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| physical | XII, 1044 S. graph. Darst. |
| publishDate | 1987 |
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| series2 | Problem solver |
| spelling | The statistics problem solver staff of Research und Education Assoc., M. Fogiel Rev. print. New York, NY 1987 XII, 1044 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Problem solver Statistik Mathematical statistics Problems, exercises, etc Statistics Problems, exercises, etc Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Statistik (DE-588)4056995-0 s DE-604 Fogiel, Max Sonstige oth Research and Education Association Sonstige (DE-588)515403-0 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005828434&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The statistics problem solver Statistik Mathematical statistics Problems, exercises, etc Statistics Problems, exercises, etc Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4143389-0 |
| title | The statistics problem solver |
| title_auth | The statistics problem solver |
| title_exact_search | The statistics problem solver |
| title_full | The statistics problem solver staff of Research und Education Assoc., M. Fogiel |
| title_fullStr | The statistics problem solver staff of Research und Education Assoc., M. Fogiel |
| title_full_unstemmed | The statistics problem solver staff of Research und Education Assoc., M. Fogiel |
| title_short | The statistics problem solver |
| title_sort | the statistics problem solver |
| topic | Statistik Mathematical statistics Problems, exercises, etc Statistics Problems, exercises, etc Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistik Mathematical statistics Problems, exercises, etc Statistics Problems, exercises, etc Aufgabensammlung |
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