The readable maths and statistics book

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1. Verfasser: Edwards, Barry (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: London Allen & Unwin 1980
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MARC

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Datensatz im Suchindex

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adam_text Contents Preface page xi 1 The Straight Line 1 Introduction 1 Points and Lines 1 Break-Even Analysis 5 2 Linear Equations and Inequalities 10 Systems of Linear Equations 10 Inequalities 12 3 Linear Programming 17 4 Differential Calculus 29 Functions 29 Differentiation 31 Economics Applications 40 Elasticity 43 Differentiation of the Exponential Function e x 45 5 Partial Differential Calculus SO Differentiation Revision 50 Partial Differentiation 51 Maximum and Minimum of Functions of Two Variables 61 Use of Lagrange Multiplier 66 Further Examples of Use of Lagrange Multiplier 69 6 Integral Calculus 75 Integration 75 Economics Applications 84 Integration of the Exponential Function ex 91 Integration as the Area under a Curve and the limit of a Sum 91 7 Probability 96 8 Sets 103 9 Introduction to Statistics 115 Definitions 115 : The Frequency Distribution 116 viii The Readable Maths and Statistics Book Graphical Presentation of Data page 117 Median and Mode 122 10 Measures of Location and Dispersion 124 Summation Notation 124 Measures of Location 125 Measures of Dispersion 130 11 Index Numbers 137 12 Correlation and Regression 148 Measuring the Degree of Association 148 Regression Lines 152 Coefficient of Determination 158 13 Permutations and Combinations 162 Permutations 162 Combinations 164 14 The Binomial and Poisson Distributions 167 The Binomial Distribution 167 The Poisson Distribution 174 15 The Normal Distribution 181 16 The Probability Density and Cumulative Distribution Functions 192 Revision: Mean and Variance 192 The Probability Density Function 194 The Cumulative Distribution Function 196 17 Samples and the Standard Error 203 Mean and Variance of Sample Means (Infinite Population) 203 Mean of Sample Variances (Infinite Population) 205 Variance of Sample Means and Standard Error 207 Variance of Sample Means (Finite Population) 213 18 Confidence and Further Distributions 217 Confidence Intervals and Levels 217 Sum and Difference Distributions 220 Proportions 224 19 Hypothesis Testing 229 One-Tail and Two-Tail Tests 229 Type I and Type II Errors 234 Calculation of 0 (the Probability of a Type II Error) and Operating Characteristic Curves 235 Test for Difference of Means 238 Test for Difference of Proportions 240 Contents ix 20 Small Samples and the t Distribution page 245 The Student t Distribution 245 Confidence Intervals 246 Test for Means 248 Test for Difference of Means 250 Paired Samples 253 21 The x2 Distribution and Its Uses 258 Thex2 Distribution 258 Goodness of Fit 262 Contingency Tables 269 22 Tests for Variance and the F Distribution 275 Tests for Variance 275 The F Distribution 280 23 Analysis of Variance 286 One-Way Analysis of Variance 286 Two-Way Analysis of Variance 296 Design of Experiments 300 Conversion of ANOVA Formulae 301 24 Sampling 305 Importance and Purpose of Sampling 305 Types of Sampling 307 The Effect of Stratifying a Sample on Standard Error 310 Appendix: Procedure Summary Sheets (Tests and Confidence Intervals) 315 Answers to Exercises 320 Index 326
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The readable maths and statistics book
Mathématiques financières
Statistik
Business mathematics
Statistics
title The readable maths and statistics book
title_auth The readable maths and statistics book
title_exact_search The readable maths and statistics book
title_full The readable maths and statistics book Barry Edwards, Senior Lecturer, Middlesex Polytechnic
title_fullStr The readable maths and statistics book Barry Edwards, Senior Lecturer, Middlesex Polytechnic
title_full_unstemmed The readable maths and statistics book Barry Edwards, Senior Lecturer, Middlesex Polytechnic
title_short The readable maths and statistics book
title_sort the readable maths and statistics book
topic Mathématiques financières
Statistik
Business mathematics
Statistics
topic_facet Mathématiques financières
Statistik
Business mathematics
Statistics
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004121147&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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