Basic applied statistics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY ; Basel
Marcel Dekker, Inc.
1979
|
| Series: | Statistics
27 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 426 Seiten Illustrationen |
| ISBN: | 0824765370 |
Staff View
MARC
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| 245 | 1 | 0 | |a Basic applied statistics |c B. L. Raktoe ; J. J. Hubert, Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario |
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Record in the Search Index
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| adam_text | CONTENTS
Preface v
1 INTRODUCTION AND SOME FUNDAMENTAL CONCEPTS 1
Exercises 8
2 DATA PRESENTATION 13
2.1 Tables 13
2.2 Graphical Presentations 14
Exercises 26
3 THE SUMMATION SIGN 31
Exercises 40
4 MEASURES OF CENTRAL TENDENCY AND VARIABILITY 47
4.1 The Mean 47
4.2 The Median 49
4.3 The Mode 52
4.4 The Geometric Mean 54
4.5 The Harmonic Mean 55
4.6 The Range 56
4.7 The Mean Absolute Deviation 56
4.8 The Variance 58
4.9 The Standard Deviation 59
4.10 The Coefficient of Variation 61
4.11 The Interquartile Deviation 62
Exercises 62
5 BASIC PROBABILITY THEORY 69
5.1 Preliminary Concepts 69
5.2 Definition of Probability 74
5.3 Conditional Probability 75
5.4 Permutations and Combinations 78
vii
v±ii Table of Contents
5.5 Two Sampling Procedures 82
Exercises 85
6 RANDOM VARIABLES AND THREE POPULAR
PROBABILITY DISTRIBUTIONS 93
6.1 Random Variables 93
6.2 Probability Distributions 96
6.3 The Bernoulli Probability Distribution 97
6.4 The Binomial Probability Distribution 98
6.5 The Normal Probability Distribution 101
6.6 The Standard Normal Distribution 105
Exercises 108
7 NORMAL APPROXIMATION TO THE BINOMIAL AND
FITTING THE NORMAL DISTRIBUTION 115
7.1 Normal Approximation to the. Binomial 115
7.2 Fitting the Normal Distribution to an
Observed Frequency Distribution 120
Exercises 123
8 RANDOM SAMPLING FROM NORMAL POPULATIONS
The Sampling Distribution of the Sample
Mean and the Sampling Distribution of the
Difference between Two Sample Means 127
8.1 Sampling Distributions 128
8.2 The Sampling Distribution of the Mean 129
8.3 The Sampling Distribution of the
Difference of Two Means 134
Exercises 137
9 SOME IMPORTANT SAMPLING DISTRIBUTIONS DERIVED
FROM THE NORMAL DISTRIBUTION
The Chi Square, t, and F Distributions 141
9.1 The Chi Square Distribution 141
9.2 The t Distribution 147
9.3 The F Distribution 156
Exercises 162
10 POINT ESTIMATION OF PARAMETERS AND CONFIDENCE
INTERVAL ESTIMATION OF THE MEAN AND THE
DIFFERENCE OF TWO MEANS BASED ON THE
STANDARD NORMAL DISTRIBUTION 169
10.1 Point Estimation 170
10.2 Confidence Interval Estimation 178
10.3 Confidence Interval for ux 179
10.4 Confidence Interval for the
Difference vx p 182
10.5 Large Sample Confidence Interval Estimation 183
Exercises 186
Table of Contents ix
11 SMALL SAMPLE CONFIDENCE INTERVAL ESTIMATION
BASED ON THE t, X2, AND F DISTRIBUTIONS AND
DETERMINATION OF SAMPLE SIZE 191
11.1 Confidence Interval for the Mean p..
Based on the t Distribution 191
11.2 Confidence Intervals for the Difference
VX Uy Based on the t Distribution 194
11.3 Confidence Intervals for o^ and aj[ Based
on the x Distribution 196
11.4 Confidence Interval for the Ratio o ,/av or
a|/ay Based on the F Distribution 198
11.5 Sample Size Determination 200
Exercises 205
12 HYPOTHESIS TESTING AND TESTS OF HYPOTHESES
BASED ON THE Z DISTRIBUTION 211
12.1 Concepts of Hypothesis Testing 211
12.2 Z Tests for the Mean yx 221
12.3 Z Tests for Equality of Two Means 224
12.4 Large Sample Z Tests 225
Exercises 228
13 TESTS BASED ON THE t, y1, AND F DISTRIBUTIONS 237
13.1 One Tail and Two Tail Tests 237
13.2 Pooled t Tests 240
13.3 Chi Square Tests on the Standard
Deviation or Variance 243
13.4 Chi Square Goodness of Fit Test 245
13.5 Chi Square Test of Independence 250
13.6 F Test on Equality of Two Standard
Deviations or Variances 256
Exercises 259
14 REGRESSION AND CORRELATION 269
14.1 Linear Regression Models 270
14.2 Least Squares Estimation of the Slope
and Intercept of a Regression Line 274
14.3 Confidence Interval Estimation and
Tests of Hypotheses in Linear Regression 280
14.4 The Pearson Product Moment Correlation
Coefficient 283
14.5 Tests of Hypotheses and Confidence
Interval Estimation for p 286
Exercises 289
15 DESIGN AND ANALYSIS OF EXPERIMENTS 301
15.1 Preliminary Definitions 303
15.2 The Completely Randomized Design 308
15.3 Analysis of a Completely Randomized Design 310
x Table of Contents
15.4 Completely Randomized Design with
Unequal Repetitions 315
15.5 The Randomized Complete Block Design 318
15.6 Analysis of a Randomized Complete
Block Design 320
Exercises 325
16 SAMPLE SURVEYS 331
16.1 Probability and Nonprobability Sampling 332
16.2 Simple Random Sampling 333
16.3 Use of Random Numbers in Drawing a
Simple Random Sample 336
16.4 Population Parameters for Simple Random
Sampling without Replacement 337
16.5 Estimation of Parameters in Simple Random
Sampling without Replacement 338
16.6 Estimation Formulas when the Sample Data
Are Arranged in a Frequency Distribution 342
16.7 Simple Random Sampling without Replacement
to Estimate Proportions and Percentages 343
16.8 Size of a Simple Random Sample without
Replacement 344
16.9 Stratified Simple Random Sampling 348
16.10 Population Parameters in Stratified
Simple Random Sampling 349
16.11 Estimation of Parameters in Stratified
Simple Random Sampling 351
16.12 Sample Size Allocation among the Strata
for Given Overall Sample Size n 356
Exercises 358
Appendix: STATISTICAL TABLES 363
Answers to Selected Exercises 391
References 413
Index 419
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:46:16Z |
| institution | BVB |
| isbn | 0824765370 |
| language | English |
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| owner_facet | DE-20 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| physical | X, 426 Seiten Illustrationen |
| psigel | TUB-nveb |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Marcel Dekker, Inc. |
| record_format | marc |
| series | Statistics |
| series2 | Statistics |
| spelling | Raktoe, Bisnoedath L. Verfasser aut Basic applied statistics B. L. Raktoe ; J. J. Hubert, Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario New York, NY ; Basel Marcel Dekker, Inc. 1979 X, 426 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Statistics 27 Statistik Mathematical statistics Statistics Statistik (DE-588)4056995-0 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Statistik (DE-588)4056995-0 s Anwendung (DE-588)4196864-5 s DE-604 Hubert, John J. Verfasser aut Statistics 27 (DE-604)BV000003265 27 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004089291&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Raktoe, Bisnoedath L. Hubert, John J. Basic applied statistics Statistics Statistik Mathematical statistics Statistics Statistik (DE-588)4056995-0 gnd Anwendung (DE-588)4196864-5 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4196864-5 |
| title | Basic applied statistics |
| title_auth | Basic applied statistics |
| title_exact_search | Basic applied statistics |
| title_full | Basic applied statistics B. L. Raktoe ; J. J. Hubert, Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario |
| title_fullStr | Basic applied statistics B. L. Raktoe ; J. J. Hubert, Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario |
| title_full_unstemmed | Basic applied statistics B. L. Raktoe ; J. J. Hubert, Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario |
| title_short | Basic applied statistics |
| title_sort | basic applied statistics |
| topic | Statistik Mathematical statistics Statistics Statistik (DE-588)4056995-0 gnd Anwendung (DE-588)4196864-5 gnd |
| topic_facet | Statistik Mathematical statistics Statistics Anwendung |
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