Statistics and computer methods in BASIC:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Van Nostrand Reinhold
1982
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 198 S. graph. Darst. |
| ISBN: | 0442304749 0442304757 |
Internformat
MARC
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| 100 | 1 | |a Lee, J. D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistics and computer methods in BASIC |c John D. Lee ; Timothy D. Lee* |
| 264 | 1 | |a New York u.a. |b Van Nostrand Reinhold |c 1982 | |
| 300 | |a XI, 198 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a BASIC |2 gtt | |
| 650 | 7 | |a Computermethoden |2 gtt | |
| 650 | 7 | |a Statistiek |2 gtt | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a BASIC (Computer program language) | |
| 650 | 4 | |a Statistics |x Data processing | |
| 700 | 1 | |a Lee, Timothy D. |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text | Titel: Statistics and computer methods in BASIC
Autor: Lee, John D
Jahr: 1982
Contents Preface v Introduction 1 Chapter 1 Errors 4 Accuracy and precision 4 Significant figures and rounding 4 Classification of errors 5 Gross accidental errors 5 Systematic errors 5 Random errors 6 How to avoid or reduce the effects of errors 7 Ways of quantifying errors 7 Range 7 Standard deviation 7 How to combine errors 7 Derivation of rules for combining errors 7 Summary of equations for combining errors 8 Standard error 9 Confidence limits 9 Example 1 Errors involved in making a standard solution 9 Example 2 Errors in volumetric analysis 10 Exercises 12 Chapter 2 Average and Spread of Results 13 Arithmetic mean 13 Median 13 Mode 13 Skewness 14 Range, variance and standard deviation of a set of values 15 Mean, variance and standard deviation using a sample of readings 16 Explanation of the divisors n and («— 1) 16 Calculation of confidence limits 17 Description of standard deviation program 17 How to combine standard deviations 22 Coefficient of variation 22 Mean, variance and standard deviation using grouped data 22 vii
Description of standard deviation program for grouped data Exercises 24 29 Chapter 3 Central Limit Theorem 31 Example 31 Outline of central limit theorem 32 Description of the central limit theorem program 33 Exercises 38 Chapter 4 Data and Distributions 39 Discrete and continuous data 39 Elementary probability 41 Normal distribution 41 /-Distribution 43 Poisson distribution 44 Binomial distribution 44 Exercises 44 / Chapter 5 Chi-Squared Test 45 Example 1 Die throwing experiment and chi-squared 45 Example 2 Chi-squared applied to blood groups 46 Example 3 Chi-squared and contingency tables 47 Example 4 Use of Yates’s correction when v= 1 48 How to handle continuous data 49 Example 5 Comparison of observed frequencies with a normal distribution 50 Method of generating normal population 51 Example 6 Comparison of observed frequencies and Poisson distribution 52 Interpretation of the probability results 54 Null hypothesis 55 Details of the computer program 56 Exercises 60 Chapter 6 Comparison of Two Samples 67 Derivation of the test for comparing large samples 67 Example 1 68 Description of program to compare large samples 68 /-Test 71 Derivation of the /-test for comparing the means of small samples 71 Example 2 72 T-Test (variance ratipf 73 Example 3 73 Description of program for comparing two samples by the F- and /-tests 74 Exercises 80 Chapter 7 Correlation Coefficients 81 Pearson’s correlation coefficient r 81 Significance of r 82 Example 1 83 Description of program to calculate Pearson’s correlation coefficient, r 83 viii
Subroutine to check data 84 Calculation of r 85 Significance of the r value obtained 85 Correlation by ranks 86 Spearman’s rank correlation coefficient p 91 Equal ranks 92 Description of program to calculate Spearman’s correlation coefficient p 96 Kendall’s rank correlation coefficient t 97 Description of program to calculate Kendall’s correlation coefficient t 98 Exercises 103 Chapter 8 Straight Line Fitting (Least Squares) 105 Scatter diagram 105 Pearson’s correlation coefficient 107 Derivation of least-squares equations 107 A numerical example of the accuracy of the different methods 109 How good a fit is the best straight line? 109 Confidence limits for the slope 110 Confidence limits for a y value derived from the line 110 Confidence limits for an x value derived from the line 111 Example 112 Calculation of slope 112 Calculation of concentration 112 Calculation of the standard deviation of the points from the line 112 Confidence limits for concentration of solution 112 How to apply least squares when both x and y are equally prone to error 113 Pearson’s correlation coefficient 114 Description of the least-squares program 114 Exercises 119 Chapter 9 Curve Fitting (Polynomials) 121 Method of reducing loss in accuracy 122 Orthogonal polynomials 123 Forsythe’s orthogonal polynomials 123 Description of the program to fit polynomials 125 Accuracy 125 Memory requirements 125 The program 125 Chapter 10 Solving Equations 135 Quadratic equations 135 Derivation of equation to solve quadratic equations 136 Accuracy of the solutions 136 Description of the program to solve quadratic equations 137 Cubic equations 138 Description of the program to solve cubic equations 141 Newton-Raphson method 143 Derivation of Newton-Raphson equation 144 IX
Limitations of the method 144 Description of Newton-Raphson program applied to polynomials 144 Method of bisection 147 Description of bisection program 148 Exercises 150 Chapter 11 Integral Approximations 151 Trapezium rule 151 Simpson’s rule 151 Derivation of Simpson’s rule 152 A comparison of the trapezium rule, Simpson’s rule and integration for calculating the area under a curve 153 Description of the program to calculate areas by Simpson’s rule 153 Exercises 158 Chapter 12 Sorting Techniques 159 Bubble sort 159 Method 159 Example 159 Description of bubble sort program 160 Insertion sort 161 Method 161 Description of the insert sort program 161 Selection sort 163 Method 163 Example 163 Description of the selection sort program 163 Address sort 163 Method 163 Description of the address sort program 165 Shell sort 165 Description of the Shell sort program 166 Variations on the Shell sort 166 Ranking an array of numbers 168 Description of program to calculate the median 170 Discussion and comparison of sorting methods 172 Appendix 1 Significance Table for Pearson’s Correlation Coefficient r 176 Appendix 2 Significance Table for Spearman’s Rank Correlation Coefficient p 177 Appendix 3 Significance Levels of Kendall’s Rank Correlation Coefficient t 178 Appendix 4 Area under Normal Curve Table 180 Appendix 5 Chi-Squared Significance Table 182 Appendix 6 /-Distribution Table 183 Appendix 7 Significance Table for T-Test 184 Probability 10% 184 Probability 5% 185 Probability 1% 186 Probability 0.1% 187 x
Appendix 8 Derivation of Formulae for Combining Variances 188 Appendix 9 List of Symbols 190 Answers and Solutions 191 Index 196 xi
|
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| dewey-full | 001.64/24 519.2 |
| dewey-hundreds | 000 - Computer science, information, general works 500 - Natural sciences and mathematics |
| dewey-ones | 001 - Knowledge 519 - Probabilities and applied mathematics |
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| dewey-search | 001.64/24 519.2 |
| dewey-sort | 11.64 224 |
| dewey-tens | 000 - Computer science, information, general works 510 - Mathematics |
| discipline | Allgemeines Informatik Mathematik |
| format | Book |
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| id | DE-604.BV003687349 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:03:50Z |
| institution | BVB |
| isbn | 0442304749 0442304757 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002346184 |
| oclc_num | 7614890 |
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| physical | XI, 198 S. graph. Darst. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
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| publisher | Van Nostrand Reinhold |
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| spelling | Lee, J. D. Verfasser aut Statistics and computer methods in BASIC John D. Lee ; Timothy D. Lee* New York u.a. Van Nostrand Reinhold 1982 XI, 198 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier BASIC gtt Computermethoden gtt Statistiek gtt Datenverarbeitung Statistik BASIC (Computer program language) Statistics Data processing Lee, Timothy D. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002346184&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lee, J. D. Lee, Timothy D. Statistics and computer methods in BASIC BASIC gtt Computermethoden gtt Statistiek gtt Datenverarbeitung Statistik BASIC (Computer program language) Statistics Data processing |
| title | Statistics and computer methods in BASIC |
| title_auth | Statistics and computer methods in BASIC |
| title_exact_search | Statistics and computer methods in BASIC |
| title_full | Statistics and computer methods in BASIC John D. Lee ; Timothy D. Lee* |
| title_fullStr | Statistics and computer methods in BASIC John D. Lee ; Timothy D. Lee* |
| title_full_unstemmed | Statistics and computer methods in BASIC John D. Lee ; Timothy D. Lee* |
| title_short | Statistics and computer methods in BASIC |
| title_sort | statistics and computer methods in basic |
| topic | BASIC gtt Computermethoden gtt Statistiek gtt Datenverarbeitung Statistik BASIC (Computer program language) Statistics Data processing |
| topic_facet | BASIC Computermethoden Statistiek Datenverarbeitung Statistik BASIC (Computer program language) Statistics Data processing |
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