Statistical computing in Pascal:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Arnold
1985
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 171 S. graph. Darst. |
| ISBN: | 071313545X |
Staff View
MARC
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| 100 | 1 | |a Cooke, Dennis |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistical computing in Pascal |c D. Cooke ; A. H. Craven ; G. M. Clarke |
| 250 | |a 1. publ. | ||
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Record in the Search Index
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| adam_text | Contents
Preface iii
List of Algorithms and Programs ix
Type Declarations xi
1 Introduction 1
1.1 The development of calculating devices in statistics 1
1.2 Programming a computer for statistics 3
1.3 Representation of numbers in a computer 4
1.4 Interactive and batch computing 5
1.5 Exercises 6
2 Some general principles 7
2.1 Computation of a mean 7
2.2 Properties of a good program 7
2.3 Making a program understandable 8
2.4 Program structure 10
2.4.1 Parameters of algorithms 12
2.4.2 Array declarations 13
2.4.3 Type declarations 13
2.5 Ensuring reliable input 14
2.6 Making output clear and understandable 14
2.7 Exercises 15
3 Sorting and ranking 17
3.1 Introduction 17
3.2 The Exchange sort 17
3.3 Shellsort 18
3.4 A comparison of sorting methods 20
3.4.1 Quicksort 21
3.4.2 Tree sort 21
3.4.3 Sorting times 23
3.5 Ranking 24
3.6 Maximum and minimum values 26
3.7 Quantiles 26
3.8 Test data for Algorithms 28
3.9 Exercises 28
vi Contents
4 Inspection and summary of data using tables 32
4.1 Introduction 32
4.2 Input of an array 32
4.3 A six number summary 33
4.4 Output of the six number summary 33
4.5 Frequency table for discrete variate with repeated values 36
4.6 Frequency table with data grouped in classes 36
4.6.1 Choice of class intervals 38
4.7 Two way table from classification data 39
4.8 Test data for Algorithms 41
4.9 Exercises 41
5 Inspection and summary of data using graphical methods 43
5.1 Introduction 43
5.2 Histogram 44
5.3 Stem and leaf diagram 45
5.4 Box and whisker plot 46
5.5 Scatter diagram 48
5.6 High resolution graphics 50
5.7 Test data for Algorithms 50
5.8 Exercises 50
6 Computation of variance and correlation coefficients 52
6.1 Variance by methods based on standard formulae 52
6.2 An updating procedure for calculating mean and variance 54
6.3 Proof of recurrence relations for mean and variance 55
6.4 Calculation of sums of squares and products of two variates 55
6.5 Input of bivariate data 57
6.6 Calculation of product moment correlation coefficient 57
6.7 Calculation of Spearman s rank correlation coefficient 57
6.8 The menu method of assembling Algorithms 58
6.9 Test data for Algorithms 59
6.10 Exercises 60
7 Simulation 62
7.1 Introduction 62
7.2 Simulation of card collecting 62
7.3 Generation of pseudo random numbers 64
7.3.1 The mid square method 66
7.4 The congruence method 66
7.5 Examples of linear congruential random number generators 68
7.6 Tests of randomness 69
7.6.1 Frequency test 69
7.6.2 Serial test 69
7.6.3 Serial correlation 69
7.6.4 Lattice test 70
7.7 Exercises ¦ 70
Contents vii
8 Probability functions of random variables 72
8.1 Introduction 72
8.2 Discrete random variables 73
8.2.1 Binomial distribution 73
8.2.2 Poisson distribution 74
8.2.3 Geometric distribution 74
8.3 The exponential distribution 75
8.4 Calculation of integrals 75
8.5 The normal integral 77
8.5.1 Simpson s rule 77
8.5.2 An approximation to normal probabilities 78
8.5.3 Normal percentage points by approximation 78
8.6 Distributions based on the normal distribution 79
8.6.1 The t distribution 80
8.6.2 The X2 distribution 81
8.6.3 The F distribution 82
8.6.4 Approximations to distribution functions of t, X2 and F 83
8.6.5 Percentage points based on approximations 85
8.6.6 Percentage points of the F distribution 88
8.7 Test data for Algorithms 89
8.8 Exercises 90
9 Generation of random samples from non uniform distributions 92
9.1 Introduction 92
9.2 Simulation of the behaviour of a queue 92
9.3 A general method of sampling statistical distributions 95
9.4 Discrete random variables 98
9.4.1 Bernoulli distribution 98
9.4.2 Binomial distribution 98
9.4.3 Poisson distribution 99
9.4.4 Geometric distribution 100
9.5 Normal distribution 101
9.5.1 Use of the central limit theorem 101
9.5.2 The polar method 101
9.6 Distributions based on the normal distribution 102
9.7 Other continuous distributions 103
9.7.1 Exponential distribution 103
9.7.2 Gamma distribution 104
9.8 Exercises 104
10 Significance tests and confidence intervals 107
10.1 Introduction 107
10.2 Single sample analysis 107
10.2.1 The i test 108
10.2.2 Confidence interval for mean 109
10.3 Paired samples 110
10.3.1 Wilcoxon signed rank test 110
viii Contents
10.4 Two unpaired samples 112
10.4.1 TheMest 112
10.4.2 Confidence interval for difference of means 112
10.4.3 Wilcoxon Rank Sum (Mann Whitney U) test 113
10.5 Frequency data 114
10.5.1 Chi squared goodness of fit tests 114
10.5.2 Chi squared contingency table tests 116
10.6 Test data for Algorithms 117
10.7 Exercises 118
11 Regression 121
11.1 Introduction 121
11.2 Fitting a line to pairs of values 121
11.3 Residuals 123
11.4 Multiple regression 124
11.5 Test data for Algorithms 128
11.6 Exercises 129
12 Analysis of variance 131
12.1 Introduction 131
12.2 Input of data 131
12.3 One way analysis of variance 133
12.4 Two way analysis of variance 136
12.5 Test data for Algorithms 139
12.6 Exercises 139
13 Data input and use of files 142
13.1 Introduction 142
13.2 Counting data on input 142
13.3 Checking data on entry 143
13.3.1 Reading checks 143
13.3.2 Range checks 146
13.3.3 Errors of input 146
13.4 Use of files 147
13.4.1 Creating a data file 148
13.4.2 Reading from a data file 150
13.5 Exercises 151
Appendix A Ancillary Algorithms 153
Appendix B Student data set 161
B.I Student data set 161
B.2 Exercises using student data set 164
Bibliography 165
Index 167
|
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| discipline | Informatik Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV002000089 |
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| indexdate | 2024-07-09T15:38:39Z |
| institution | BVB |
| isbn | 071313545X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001304666 |
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| physical | X, 171 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Arnold |
| record_format | marc |
| spelling | Cooke, Dennis Verfasser aut Statistical computing in Pascal D. Cooke ; A. H. Craven ; G. M. Clarke 1. publ. London Arnold 1985 X, 171 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier PASCAL (langage de programmation) ram Datenverarbeitung Mathematical statistics Data processing Pascal (Computer program language) Statistik (DE-588)4056995-0 gnd rswk-swf PASCAL Programmiersprache (DE-588)4044804-6 gnd rswk-swf Statistik (DE-588)4056995-0 s PASCAL Programmiersprache (DE-588)4044804-6 s DE-604 Craven, A. H. Verfasser aut Clarke, Geoffrey M. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001304666&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cooke, Dennis Craven, A. H. Clarke, Geoffrey M. Statistical computing in Pascal PASCAL (langage de programmation) ram Datenverarbeitung Mathematical statistics Data processing Pascal (Computer program language) Statistik (DE-588)4056995-0 gnd PASCAL Programmiersprache (DE-588)4044804-6 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4044804-6 |
| title | Statistical computing in Pascal |
| title_auth | Statistical computing in Pascal |
| title_exact_search | Statistical computing in Pascal |
| title_full | Statistical computing in Pascal D. Cooke ; A. H. Craven ; G. M. Clarke |
| title_fullStr | Statistical computing in Pascal D. Cooke ; A. H. Craven ; G. M. Clarke |
| title_full_unstemmed | Statistical computing in Pascal D. Cooke ; A. H. Craven ; G. M. Clarke |
| title_short | Statistical computing in Pascal |
| title_sort | statistical computing in pascal |
| topic | PASCAL (langage de programmation) ram Datenverarbeitung Mathematical statistics Data processing Pascal (Computer program language) Statistik (DE-588)4056995-0 gnd PASCAL Programmiersprache (DE-588)4044804-6 gnd |
| topic_facet | PASCAL (langage de programmation) Datenverarbeitung Mathematical statistics Data processing Pascal (Computer program language) Statistik PASCAL Programmiersprache |
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