Introductory applied statistics in science:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Englewood Cliffs, NJ
Prentice-Hall
1978
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 278 S. Illustrationen |
| ISBN: | 0135016193 |
Internformat
MARC
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| 100 | 1 | |a Choi, Sung Churl |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introductory applied statistics in science |c Sung C. Choi |
| 264 | 1 | |a Englewood Cliffs, NJ |b Prentice-Hall |c 1978 | |
| 300 | |a X, 278 S. |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 4 | |a Naturwissenschaft | |
| 650 | 4 | |a Biometry | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Science |x Statistical methods | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface ix
Introduction 1
1. Random Variables and Probability 3
1.1 Introduction 3
1.2 Sample space, random variable and probability 3
1.3 Addition theorem 7
1.4 Conditional probability, independent events
and multiplication theorem 9
1.5 Theorem on total probability 12
1.6 Bayes theorem 13
1.7 Summary 16
Problems 16
2. Description of Random Variables 19
2.1 Introduction 19
2.2 Theoretical distribution of variables 19
2.3 Simple description of theoretical distributions 23
•2.4 More about mean and variance of variables 26
2.5 Summary 28
Problems 28
Hi
iv Contents
3. Some Important Theoretical Distributions 31
3.1 Introduction 31
3.2 Bernoulli distribution and binomial distribution 32
3.3 Geometric distribution 34
3.4 Poisson distribution 55
3.5 Exponential distribution 37
3.6 Normal distribution 39
3.7 Lognormal distribution 47
3.8 Other distributions related to normal distribution 49
3.8.1 t distribution 49
3.8.2 x1 distribution 50
3.8.3 F distribution 51
3.9 Summary 54
Problems 54
4. Organization of Data and Descriptive Statistics 58
4.1 Introduction 55
4.2 Remarks on sample and population 55
4.3 Processes in statistical inference 59
4.4 Sample frequency distributions 60
4.5 Graphical representation of sample frequency distribution 62
4.6 Relation between sample frequency distribution
and theoretical distribution 63
4.7 Measure of location 64
4.8 Measure of variation 66
4.9 Coefficient of variation 68
4.10 Summary 69
Problems 70
5. Statistical Inference: Principles and Methods 73
5.1 Introduction 73
*5.2 Basic principles of point estimation 74
*5.3 Method of point estimation 77
*5.4 Basic principles of confidence interval 79
5.5 Basic ideas of hypothesis testing 80
5.5.1 Rationale of tests 81
5.5.2 One sided and two sided tests 82
5.5.3 Risk involved in decision based on tests 83
5.6 Tests concerning mean of normal distributions
with known variance 55
Contents v
*5.7 Power and choice of test 89
5.8 P value 91
5.9 Problem of sample size 93
Problems 95
6. Estimation and Testing Hypotheses: Frequency Data 97
6.1 Introduction 97
6.2 Inference about a proportion 98
6.2.1 Testing the hypothesis about a proportion 98
6.2.2 Confidence interval for a proportion 100
6.3 Comparison of two proportions 101
6.4 Goodness of fit test 102
6.5 Two by two table 104
6.6 Contingency tables 108
6.7 Comparison of several proportions 111
6.8 Two by two table for paired observations 113
*6.9 Test of hypothesis and sample size 115
6.9.1 Sample size for testing a proportion 116
6.9.2 Sample size for comparing two proportions 117
6.10 Summary 118
Problems 118
7. Estimation and Testing Hypotheses: Measurement Data 123
7.1 Introduction 123
7.2 Variance of a normal distribution 124
7.2.1 Confidence interval for a2 124
7.2.2 Test concerning a variance 125
7.3 Mean of a normal distribution with unknown variance 127
7.3.1 Confidence interval for /i 127
7.3.2 Test concerning a mean: One sample t test 128
7.4 Comparison of the variances of two normal distributions 130
7.4.1 Confidence interval for a o 131
7.4.2 Test for the equality of two variances 131
7.5 Comparison of means of two normal distributions:
Independent case 133
7.5.1 Pooled standard deviation when ax — az 133
7.5.2 Confidence interval for /ix — ji% when ax = r2 133
7.5.3 Testing the equality of two means when ax = a%:
Two sample t test 134
7.5.4 Confidence interval for fix — ix% when ax ^az 136
7.5.5 Testing the equality of two means when ax ^ r2:
Aspin Wekh test 137
vi Contents
7.6 Comparison of means of two normal distributions:
Paired case 138
7.6.1 Confidence interval for fit — fi2 in paired data 139
7.6.2 Testing the equality of two means: Paired t test 139
7.7 Robustness, transformation and nonparametric tests 141
7.7.1 Transformation 141
7.7.2 Nonparametric tests 143
7.8 Rank test for comparing two populations:
Independent case 144
7.9 Rank test for comparing two populations: Paired case 146
7.10 Other nonparametric tests 148
7.10.1 Median test 148
7.10.2 Sign test 149
7.11 Large sample test for the mean 150
*7.12 Test of hypothesis and sample size 152
7.12.1 Sample size for one sample test of means 152
7.12.2 Sample size for two sample test of means 153
7.13 Summary 155
Problems 155
8. Regression and Correlation Analysis 160
8.1 Introduction 160
8.2 Simple linear regression 161
8.3 Inferences about regression coefficients 165
8.4 Inferences about predicted value 168
8.5 Correlation coefficient 169
8.6 Inference about correlation coefficient 171
8.7 Analysis involving more than one x 174
8.7.1 Correlation matrix Y14
8.7.2 Partial correlation coefficient 175
8.7.3 Multiple regression 177
*8.8 Non linear regression model 179
8.9 Contingency coefficient 180
8.10 Biserial correlation 181
8.11 Rank correlation 183
8.12 Summary 185
Problems 185
9. Analysis of Variance 191
9.1 Introduction 191
9.2 Models and assumptions in analysis of variance 191
Contents vii
9.3 Dot notation for representing means 193
9.4 One way classification 193
9.5 Multiple comparisons—LSD test 198
*9.6 Two way classification 200
9.6.1 Crossed classification with replication 201
9.6.2 Crossed classification with no replication 206
9.6.3 Nested classification 208
*9.7 Miscellaneous remarks on the analysis of variance 210
9.7.1 Low F ratios 210
9.7.2 Missing Data 211
9.7.3 Greater number of classifications 213
*9.8 Applications of analysis of variance to regression 214
*9.9 Analysis of covariance 216
Problems 221
10. Computer Analysis 224
10.1 Introduction 224
10.2 Components of a computer system and programs 224
10.3 Preparing data for computer analysis 227
10.4 Case studies 230
References 238
Appendix 1 Subscripts and Summations 240
Appendix 2 Tables and Figures 242
Appendix 3 Answers to Selected Problems 266
Index 271
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| dewey-search | 519.5/02/45 |
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| indexdate | 2024-07-09T16:24:55Z |
| institution | BVB |
| isbn | 0135016193 |
| language | English |
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| spelling | Choi, Sung Churl Verfasser aut Introductory applied statistics in science Sung C. Choi Englewood Cliffs, NJ Prentice-Hall 1978 X, 278 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Naturwissenschaft Biometry Mathematical statistics Science Statistical methods Statistik (DE-588)4056995-0 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s Naturwissenschaften (DE-588)4041421-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003216379&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Choi, Sung Churl Introductory applied statistics in science Naturwissenschaft Biometry Mathematical statistics Science Statistical methods Statistik (DE-588)4056995-0 gnd Naturwissenschaften (DE-588)4041421-8 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4041421-8 (DE-588)4151278-9 |
| title | Introductory applied statistics in science |
| title_auth | Introductory applied statistics in science |
| title_exact_search | Introductory applied statistics in science |
| title_full | Introductory applied statistics in science Sung C. Choi |
| title_fullStr | Introductory applied statistics in science Sung C. Choi |
| title_full_unstemmed | Introductory applied statistics in science Sung C. Choi |
| title_short | Introductory applied statistics in science |
| title_sort | introductory applied statistics in science |
| topic | Naturwissenschaft Biometry Mathematical statistics Science Statistical methods Statistik (DE-588)4056995-0 gnd Naturwissenschaften (DE-588)4041421-8 gnd |
| topic_facet | Naturwissenschaft Biometry Mathematical statistics Science Statistical methods Statistik Naturwissenschaften Einführung |
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