Normal view

## Introduction to statistical analysis / [by] Wilfrid J. Dixon [and] Frank J. Massey, Jr.

Editor: New York : McGraw-Hill [1968, c1969]Edición: 3rd edDescripción: vii, 638 p. : il. ; 23 cmTema(s): StatisticsOtra clasificación: *CODIGO*
Contenidos:
```1 INTRODUCTION [1] --
1-1 Types of proof [1] --
1-2 Generality of applications of statistics [2] --
1-3 Examples of statistical problems [3] --
2 DISTRIBUTIONS [5] --
2- 1 Observations [5] --
2-2 Histogram [6] --
2-3 Percentiles [9] --
3 INTRODUCTION TO MEASURES --
OF CENTRAL VALUE AND DISPERSION [22] --
3- 1 Measures of central value: Arithmetic mean [22] --
3-2 Measures of dispersion: Variance [26] --
3-3 Effect of uniform change in the observations [30] --
4 POPULATION AND SAMPLE [37] --
4- 1 Population, or universe [38] --
4-2 Sample [39] --
4-3 Random numbers [40] --
4-4 Design of experiments [42] --
4-5 Sampling distributions [43] --
4-6 Sampling without replacement [49] --
4-7 Sampling experiments [50] --
5 THE NORMAL DISTRIBUTION [56] --
5-1 Equation of the normal curve [56] --
5-2 An example of the normal distribution [58] --
5-3 The cumulative normal distribution [61] --
5-4 Areas under the normal curve [62] --
5-5 Normal-probability paper [63] --
5-6 Fitting a normal curve to a histogram [66] --
5-7 Sampling from a dichotomous (yes-or-no) population [67] --
5-8 Normal populations [71] --
6 STATISTICAL INFERENCE: ESTIMATION AND TESTS [75] --
6-1 Estimation and tests of hypotheses [75] --
6-2 Confidence-interval estimate of the mean [77] --
6-3 Estimation of u when is unknown [80] --
6-4 Test of hypothesis on the mean [82] --
6-5 Second type of error [83] --
6-6 One-sided tests [87] --
6-7 Comments on inference [88] --
7 INFERENCE: SINGLE POPULATION [95] --
7-1 The mean [95] --
7-2 Proportions: Estimation and tests [100] --
7-3 The standard deviation and variance [101] --
8 INFERENCE: TWO POPULATIONS [109] --
8-1 Sampling distribution of F [109] --
8-2 Tests of hypotheses concerning two variances [111] --
8-3 Estimation of variances using several samples [112] --
8-4 Tests of hypotheses concerning the means of two populations [114] --
8-5 Pairing observations [119] --
8-6 Confidence limits for the difference between two means [123] --
9 EFFICIENCY AND VARIOUS STATISTICS [127] --
9-1 Comparison of mean and median [128] --
9-2 Statistical efficiency [129] --
9-3 Data-handling equipment [131] --
9-4 Other estimates of central value [133] --
9-5 Estimates of dispersion [134] --
9-6 Substitute t and F ratios [139] --
9-7 Estimates with inefficient statistics [140] --
9-8 Tolerance limits [142] --
9-9 Control charts [142] --
10 ANALYSIS OF VARIANCE [150] --
10-1 Examples and discussion of several problems [151] --
10-2 Single variable of classification: Model I [156] --
10-3 Individual comparisons in the one-variable case [162] --
10-4 Two variables of classification: Single observation [167] --
10-5 Two variables of classification: Repeated measurements [175] --
10-6 Two-by-two factorial design: Individual comparisons [181] --
10-7 Weighted means [184] --
11 REGRESSION AND CORRELATION [193] --
11-1 Regression [193] --
11-2. Linear regression [195] --
11-3 Estimation of parameters [195] --
11-4 Estimation and tests in normal populations [197] --
11-5 Test for linearity of regression [200] --
11-6 Correlation problems [202] --
11-7 Computations for the correlation problem [205] --
11-8 Regression in two populations [206] --
11-9 Multiple regression [212] --
11-10 Other estimates of correlation [215] --
12 ANALYSIS OF COVARIANCE [222] --
12-1 Statement of the problem [223] --
12-2 Computation and conclusion [226] --
12-3 Hypothesis and assumptions [230] --
12-4 Extension to other problems [230] --
12-5 Tests for the validity of the assumptions underlying the analysis of covariance [231] --
13-1 Chi square [238] --
13-2 Single classification [238] --
13-3 Two-way classification: Independence [240] --
13-4 Test for goodness of fit [243] --
13-5 Binomial distribution: Proportion [245] --
13-6 Difference in proportions [249] --
13-7 Binomial-probability paper [251] --
13-8 Control chart for percentages [255] --
14 PROBABILITY OF ACCEPTING A FALSE HYPOTHESIS [263] --
14-1 Alternatives and two types of error [264] --
14-2 Power function for testing the hypothesis [264] --
14-3 Operating-characteristic curves [274] --
14-4 Power function of test for proportions [274] --
14-5 Power of the analysis-of-variance tests [277] --
15 MORE ANALYSIS OF VARIANCE [283] --
15-1 Orthogonal contrasts [284] --
15-2 Bioassay [299] --
15-3 Components-of-variance model: Model II [302] --
15-4 Various topics related to the analysis of variance [305] --
15-5 Tests for homogeneity of variances [308] --
15-6 Latin square [310] --
15-7 Multiple orthogonal estimates [313] --
16 QUESTIONS OF NORMALITY [322] --
16-1 Some approaches to normalization [323] --
16-2 Transformations [323] --
16-3 Detection of extremes [328] --
16-4 Winsorized estimates [330] --
16-5 Winsorized t [331] --
17 NONPARAMETRIC STATISTICS [335] --
17-1 The sign test [335] --
17-2 Extensions of the sign test [340] --
17-3 Runs [342] --
17-4 The rank-sum test [344] --
17-5 Estimation of a cumulative frequency distribution [345] --
17-6 Chebyshev’s inequality [347] --
17-7 Nonparametric tolerance limits [348] --
17-8 Confidence limits for the median [349] --
17-9 Rank correlation [349] --
17-10 Median tests [351] --
17-11 Corner test for association [352] --
17-12 Tests of randomness [353] --
17-13 Remarks on nonparametric methods [354] --
18 SEQUENTIAL ANALYSIS [362] --
18-1 Sequential test [362] --
18-2 Test for proportion [363] --
18-3 Test of hypothesis on means [369] --
18-4 Test for standard deviation [372] --
18-5 Discussion of sequential tests [374] --
19 SENSITIVITY EXPERIMENTS [377] --
19-1Graphical solution [378] --
19-2The “up-and-down” method [380] --
19-3Statistical analysis for IV large [382] --
19-4Confidence intervals [384] --
19-5Statistical analysis for N small [386] --
20 PROBABILITY [395] --
20-1Two-way frequency table [396] --
20-2Axioms and theorems of probability [399] --
20-3Counting techniques: Permutations and combinations [401] --
20-4Discrete frequency distributions [410] --
20-5Mean and variance formulas [415] --
20-6The Poisson distribution [417] --
20-7Continuous density functions [419] --
20-8Expectation [421] --
REFERENCES [439] --
LIST OF TABLES [445] --
INDEX [631] --```
List(s) this item appears in: Últimas adquisiciones
Item type Home library Shelving location Call number Materials specified Status Date due Barcode
Libros
Últimas adquisiciones 62 D621-3 (Browse shelf) Available A-9348

Bibliografía: p. 439-443.

1 INTRODUCTION [1] --
1-1 Types of proof [1] --
1-2 Generality of applications of statistics [2] --
1-3 Examples of statistical problems [3] --
2 DISTRIBUTIONS [5] --
2- 1 Observations [5] --
2-2 Histogram [6] --
2-3 Percentiles [9] --
3 INTRODUCTION TO MEASURES --
OF CENTRAL VALUE AND DISPERSION [22] --
3- 1 Measures of central value: Arithmetic mean [22] --
3-2 Measures of dispersion: Variance [26] --
3-3 Effect of uniform change in the observations [30] --
4 POPULATION AND SAMPLE [37] --
4- 1 Population, or universe [38] --
4-2 Sample [39] --
4-3 Random numbers [40] --
4-4 Design of experiments [42] --
4-5 Sampling distributions [43] --
4-6 Sampling without replacement [49] --
4-7 Sampling experiments [50] --
5 THE NORMAL DISTRIBUTION [56] --
5-1 Equation of the normal curve [56] --
5-2 An example of the normal distribution [58] --
5-3 The cumulative normal distribution [61] --
5-4 Areas under the normal curve [62] --
5-5 Normal-probability paper [63] --
5-6 Fitting a normal curve to a histogram [66] --
5-7 Sampling from a dichotomous (yes-or-no) population [67] --
5-8 Normal populations [71] --
6 STATISTICAL INFERENCE: ESTIMATION AND TESTS [75] --
6-1 Estimation and tests of hypotheses [75] --
6-2 Confidence-interval estimate of the mean [77] --
6-3 Estimation of u when is unknown [80] --
6-4 Test of hypothesis on the mean [82] --
6-5 Second type of error [83] --
6-6 One-sided tests [87] --
6-7 Comments on inference [88] --
7 INFERENCE: SINGLE POPULATION [95] --
7-1 The mean [95] --
7-2 Proportions: Estimation and tests [100] --
7-3 The standard deviation and variance [101] --
8 INFERENCE: TWO POPULATIONS [109] --
8-1 Sampling distribution of F [109] --
8-2 Tests of hypotheses concerning two variances [111] --
8-3 Estimation of variances using several samples [112] --
8-4 Tests of hypotheses concerning the means of two populations [114] --
8-5 Pairing observations [119] --
8-6 Confidence limits for the difference between two means [123] --
9 EFFICIENCY AND VARIOUS STATISTICS [127] --
9-1 Comparison of mean and median [128] --
9-2 Statistical efficiency [129] --
9-3 Data-handling equipment [131] --
9-4 Other estimates of central value [133] --
9-5 Estimates of dispersion [134] --
9-6 Substitute t and F ratios [139] --
9-7 Estimates with inefficient statistics [140] --
9-8 Tolerance limits [142] --
9-9 Control charts [142] --
10 ANALYSIS OF VARIANCE [150] --
10-1 Examples and discussion of several problems [151] --
10-2 Single variable of classification: Model I [156] --
10-3 Individual comparisons in the one-variable case [162] --
10-4 Two variables of classification: Single observation [167] --
10-5 Two variables of classification: Repeated measurements [175] --
10-6 Two-by-two factorial design: Individual comparisons [181] --
10-7 Weighted means [184] --
11 REGRESSION AND CORRELATION [193] --
11-1 Regression [193] --
11-2. Linear regression [195] --
11-3 Estimation of parameters [195] --
11-4 Estimation and tests in normal populations [197] --
11-5 Test for linearity of regression [200] --
11-6 Correlation problems [202] --
11-7 Computations for the correlation problem [205] --
11-8 Regression in two populations [206] --
11-9 Multiple regression [212] --
11-10 Other estimates of correlation [215] --
12 ANALYSIS OF COVARIANCE [222] --
12-1 Statement of the problem [223] --
12-2 Computation and conclusion [226] --
12-3 Hypothesis and assumptions [230] --
12-4 Extension to other problems [230] --
12-5 Tests for the validity of the assumptions underlying the analysis of covariance [231] --
13-1 Chi square [238] --
13-2 Single classification [238] --
13-3 Two-way classification: Independence [240] --
13-4 Test for goodness of fit [243] --
13-5 Binomial distribution: Proportion [245] --
13-6 Difference in proportions [249] --
13-7 Binomial-probability paper [251] --
13-8 Control chart for percentages [255] --
14 PROBABILITY OF ACCEPTING A FALSE HYPOTHESIS [263] --
14-1 Alternatives and two types of error [264] --
14-2 Power function for testing the hypothesis [264] --
14-3 Operating-characteristic curves [274] --
14-4 Power function of test for proportions [274] --
14-5 Power of the analysis-of-variance tests [277] --
15 MORE ANALYSIS OF VARIANCE [283] --
15-1 Orthogonal contrasts [284] --
15-2 Bioassay [299] --
15-3 Components-of-variance model: Model II [302] --
15-4 Various topics related to the analysis of variance [305] --
15-5 Tests for homogeneity of variances [308] --
15-6 Latin square [310] --
15-7 Multiple orthogonal estimates [313] --
16 QUESTIONS OF NORMALITY [322] --
16-1 Some approaches to normalization [323] --
16-2 Transformations [323] --
16-3 Detection of extremes [328] --
16-4 Winsorized estimates [330] --
16-5 Winsorized t [331] --
17 NONPARAMETRIC STATISTICS [335] --
17-1 The sign test [335] --
17-2 Extensions of the sign test [340] --
17-3 Runs [342] --
17-4 The rank-sum test [344] --
17-5 Estimation of a cumulative frequency distribution [345] --
17-6 Chebyshev’s inequality [347] --
17-7 Nonparametric tolerance limits [348] --
17-8 Confidence limits for the median [349] --
17-9 Rank correlation [349] --
17-10 Median tests [351] --
17-11 Corner test for association [352] --
17-12 Tests of randomness [353] --
17-13 Remarks on nonparametric methods [354] --
18 SEQUENTIAL ANALYSIS [362] --
18-1 Sequential test [362] --
18-2 Test for proportion [363] --
18-3 Test of hypothesis on means [369] --
18-4 Test for standard deviation [372] --
18-5 Discussion of sequential tests [374] --
19 SENSITIVITY EXPERIMENTS [377] --
19-1Graphical solution [378] --
19-2The “up-and-down” method [380] --
19-3Statistical analysis for IV large [382] --
19-4Confidence intervals [384] --
19-5Statistical analysis for N small [386] --
20 PROBABILITY [395] --
20-1Two-way frequency table [396] --
20-2Axioms and theorems of probability [399] --
20-3Counting techniques: Permutations and combinations [401] --
20-4Discrete frequency distributions [410] --
20-5Mean and variance formulas [415] --
20-6The Poisson distribution [417] --
20-7Continuous density functions [419] --
20-8Expectation [421] --
REFERENCES [439] --
LIST OF TABLES [445] --
INDEX [631] --

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