Statistical methods for engineers and scientists: a students' course book
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
1978
|
| Series: | A series of programmes on mathematics for scientists and technologists
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 444 S. graph. Darst. |
| ISBN: | 0471996440 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116711400538112 |
|---|---|
| adam_text | CONTENTS
UNIT 1 Probability Distributions
Elementary Ideas and Standard Models
FRAMES PAGE
DESCRIPTIVE METHODS
1 2 Variates Discrete and Continuous 2
3 The Use of Computers 3
4 Flow Diagrams 3
5 15 Tabular Representation of Data 4
16 20 Graphical Representation of Data 11
21 22 Arithmetical Description of a Distribution 14
23 27 Properties of the Arithmetic Mean 15
28 31 Calculation of the Mean from a Frequency Table 17
32 The Mode 19
33 37 The Median 19
38 52 Measures of Dispersion (or Spread or Variability) 23
53 56 Calculation of the Variance and Standard Deviation
from a Frequency Table 30
57 73 Coding of Data 33
74 Quiz 38
75 76 Miscellaneous Examples and Answers 40
PROBABILITY
1 Introduction 46
2 8 The Classical (a priori) Approach 46
9 14 The Empirical Approach 49
15 18 The Use of Sets 53
19 24 Laws of Probability 54
25 28 The Addition of Probabilities 56
29 30 Multiplication of Probabilities Independent Events 59
31 38 Conditional Probability 60
39 Summary 63
40 44 Use of nC 63
45 Probability Tree Diagrams 66
46 59 Problem Solving 66
60 61 Miscellaneous Examples and Answers 73
APPENDIX A Summary of terms and symbols in Set Theory 79
APPENDIX B Combinations and the notation nC 81
PROBABILITY DISTRIBUTIONS FOR DISCRETE VARIATES (1)
1 8 Probability Distributions 84
9 20 Bernoulli Trials and the Binomial Distribution 87
21 22 Mean and Variance of the Binomial Distribution 92
23 24 Distribution of Proportion of Successes 93
(ix)
25 27 Fitting a Binomial Model 94
28 29 Miscellaneous Examples and Answers 95
APPENDIX Mean and Variance of the Binomial Distribution 102
PROBABILITY DISTRIBUTIONS FOR DISCRETE VARIATES (2)
1 4 Introduction 103
5 10 From Binomial to Poisson 104
11 21 The Poisson Distribution 106
22 23 Fitting a Poisson model 110
24 The Poisson distribution as an approximation to the
Binomial 112
25 26 Miscellaneous Examples and Answers 112
PROBABILITY DISTRIBUTIONS FOR CONTINUOUS VARIATES
1 5 Introduction 117
6 10 Probability Curves 119
11 Cumulative Distribution Function 122
12 14 Mean and Variance 122
15 21 The Exponential Distribution 123
22 28 The Normal (Gaussian) Distribution 127
29 30 The Standard Normal Distribution 130
31 40 Use of Tables 131
41 Use of Normal Probability Paper 136
42 45 Fitting a Normal Curve 138
46 47 The Normal Approximation to the Poisson Distribution 140
48 The Lognormal Distribution 141
49 56 Distribution of Sums and Differences 141
57 60 Variance of a General Function 146
61 62 Miscellaneous Examples and Answers 148
UNIT 1 Revision Examples and Answers 154
UNIT 2 The Deduction of Information from Samples
CONFIDENCE LIMITS FOR THE MEAN
1 6 Sample and Population 164
7 24 Distribution of Sample Means 165
25 Summary 172
26 29 Confidence Limits for Population Mean a known 173
30 32 Sample Estimate of Population Variance 174
33 34 Degrees of Freedom 176
35 40 Confidence Limits for Population Mean a estimated 176
41 42 Relationship between t and Normal Distributions 179
43 48 Confidence Limits for a Count 179
49 Quiz 181
50 51 Miscellaneous Examples and Answers 183
TESTS OF SIGNIFICANCE (1)
1 8 Introduction 188
9 18 Test of a Stated Value for a Population Mean a known 191
19 21 Test of a Stated Value for a Population Mean a estimated 195
(x)
22 26 t Test applied to Paired Observations 196
27 34 Comparison of two Sample Means a known 199
35 39 Comparison of two Sample Means a estimated 202
40 43 Confidence Limits for Difference between Means 205
Test of Difference between Proportions
44 55 (i) Between an Observed Proportion and a
Hypothetical One 206
56 58 (ii) Between two Observed Proportions 211
59 67 Type 1 and Type 2 Errors 212
68 Traditional v. Bayesian Approach 216
69 Which Test? 216
70 71 Miscellaneous Examples and Answers 217
TESTS OF SIGNIFICANCE (2)
1 7 One tailed and Two tailed Tests 226
8 14 The Variance Ratio F 229
15 18 One tailed F test 233
19 27 Two tailed F test 235
28 29 Confidence Limits for a2 using F 239
• 30 35 The Chi squared Distribution 239
36 Use of Tables of X2 242
37 38 X2 and the Sampling Distribution of s2 242
39 Confidence Limits for O using X2 243
40 59 X2 tests for Goodness of Fit 243
60 70 Contingency Tables 253
71 73 The 2x2 Table 258
74 A Computer Example 260
75 76 Miscellaneous Examples and Answers 261
NONPARAMETRIC (DISTRIBUTION FREE) TESTS
1 Introduction 270
2 7 Sign Tests 270
8 14 The Wilcoxon Signed Rank Test for matched pairs 273
15 27 The Mann Whitney Test 276
28 30 Run Tests 282
31 Advantages and Disadvantages 284
32 33 Miscellaneous Examples and Answers 285
QUALITY CONTROL AND ACCEPTANCE SAMPLING
1 Introduction 288
2 15 Control Charts 288
16 19 Process Capability 295
20 24 Average Run Length 298
25 31 Cumulative Sum Charts 299
32 35 Decision Rule using a V mask 302
36 51 Acceptance Sampling 305
52 53 Analogy with Hypothesis Testing 313
54 55 Miscellaneous Examples and Answers 314
UNIT 2 Revision Examples and Answers 320
(xi)
UNIT 3 Variance Analysis, Correlation and Regression
ANALYSIS OF VARIANCE
1 35 Comparison of Several Means 333
36 38 Underlying Assumptions and Model 350
39 53 Extension to Two way Classification 351
54 A Computer Program 360
55 Further Developments 362
56 57 Miscellaneous Examples and Answers 363
CORRELATION
1 3 Scatter Diagrams 368
4 11 The Correlation Coefficient 370
12 13 Alternative Formula for Calculating r 374
14 19 Bivariate Frequency Table 375
20 28 Interpreting a value of r 377
29 34 Rank Correlation 382
35 36 Miscellaneous Examples and Answers 384
APPENDIX Derivation of the formula for Spearman s rank
correlation coefficient 389
REGRESSION
1 Introduction 390
2 26 Regression Lines 390
27 29 Underlying Assumptions and Model 402
30 41 Analysis of Variance for Linear Regression 403
42 52 Confidence Intervals 409
53 59 Multiple and Curvilinear Regression 414
60 61 Miscellaneous Examples and Answers 419
APPENDIX Sampling Distributions of b, a and a + bx0 426
UNIT 3 Revision Examples and Answers 428
BIBLIOGRAPHY 434
TABLES 435
INDEX 442
(xii)
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| id | DE-604.BV002254827 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:51Z |
| institution | BVB |
| isbn | 0471996440 |
| language | English |
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| physical | XII, 444 S. graph. Darst. |
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| series2 | A series of programmes on mathematics for scientists and technologists |
| spelling | Bajpai, Avinash C. Verfasser (DE-588)1013168275 aut Statistical methods for engineers and scientists a students' course book A. C. Bajpai ; I. M. Calus ; J. A. Fairley Chichester [u.a.] Wiley 1978 XII, 444 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A series of programmes on mathematics for scientists and technologists Statistics cabt Enseignement Ingénierie - Méthodes statistiques ram Programme Sciences - Méthodes statistiques ram Statistique Statistique mathématique ram Ingenieurwissenschaften Naturwissenschaft Statistik Engineering Statistical methods Programmed instruction Mathematical statistics Programmed instruction Science Statistical methods Programmed instruction Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Calus, Irene M. 1923- Verfasser (DE-588)172014271 aut Fairley, J. A. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001481714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bajpai, Avinash C. Calus, Irene M. 1923- Fairley, J. A. Statistical methods for engineers and scientists a students' course book Statistics cabt Enseignement Ingénierie - Méthodes statistiques ram Programme Sciences - Méthodes statistiques ram Statistique Statistique mathématique ram Ingenieurwissenschaften Naturwissenschaft Statistik Engineering Statistical methods Programmed instruction Mathematical statistics Programmed instruction Science Statistical methods Programmed instruction Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 |
| title | Statistical methods for engineers and scientists a students' course book |
| title_auth | Statistical methods for engineers and scientists a students' course book |
| title_exact_search | Statistical methods for engineers and scientists a students' course book |
| title_full | Statistical methods for engineers and scientists a students' course book A. C. Bajpai ; I. M. Calus ; J. A. Fairley |
| title_fullStr | Statistical methods for engineers and scientists a students' course book A. C. Bajpai ; I. M. Calus ; J. A. Fairley |
| title_full_unstemmed | Statistical methods for engineers and scientists a students' course book A. C. Bajpai ; I. M. Calus ; J. A. Fairley |
| title_short | Statistical methods for engineers and scientists |
| title_sort | statistical methods for engineers and scientists a students course book |
| title_sub | a students' course book |
| topic | Statistics cabt Enseignement Ingénierie - Méthodes statistiques ram Programme Sciences - Méthodes statistiques ram Statistique Statistique mathématique ram Ingenieurwissenschaften Naturwissenschaft Statistik Engineering Statistical methods Programmed instruction Mathematical statistics Programmed instruction Science Statistical methods Programmed instruction Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistics Enseignement Ingénierie - Méthodes statistiques Programme Sciences - Méthodes statistiques Statistique Statistique mathématique Ingenieurwissenschaften Naturwissenschaft Statistik Engineering Statistical methods Programmed instruction Mathematical statistics Programmed instruction Science Statistical methods Programmed instruction |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001481714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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