• Collins Advanced Maths Topics - Statistics: Drawing conclusions [Paid for download edition] - 9780007444069
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Collins Advanced Maths Topics - Statistics: Drawing conclusions [Paid for download edition]

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Digital-Download
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15/04/2011
A Level/Ages 16 and above
978-0-00-744406-9
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RRP £4.80
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Familiarise students with drawing conclusions required in Statistics A Level in this unit. The chapters cover: samples and populations, validating models: the chi-squared distribution, bivariate data, appendix II, and non-parametric tests.

Contents

10 SAMPLES AND POPULATIONS
Subjective and random sampling; Samples and populations
Sampling frames; Use of random numbers; Efficiency; Sampling populations of any size; Systematic, stratified, quota and cluster sampling; Stratified sampling; Quota sampling, cluster sampling; Systematic sampling; Sampling from probability distributions; Sampling from binomial and Poisson distributions; Sampling from other distributions

12 VALIDATING MODELS: THE CHI-SQUARED DISTRIBUTION
Expected frequencies; A measure of the quality of fit
Empirical distribution of the measure of fit; Discovering the critical value; Critical values for other models; The chi-squared statistic and degrees of freedom; Chi-squared the use of tables; Goodness of fit; Expected frequency convention; Fitting other models; Additional constraints; Contingency tables and independence; Contingency tables and association; Nature of association; Yates' correction

13 BIVARIATE DATA
Scattergraphs and covariance; Product moment correlation coefficient; Interpretation of r; Empirical critical values for Pearsons's product moment; correlation coefficient
Tables of critical values for r; Least squares regression model
Sum of squared residuals; Gradient of the least squares regression line; Factor and response; Moving averages; Appendix II

17 NON-PARAMETRIC TESTS
Rank correlation; Non-linear relationship; Product moment correlation coefficient of the ranks; Spearman's coefficient
Critical values; Sign test (binomial); Single sample case; Paired sample case; Large samples; Sign test (signed rank)
Paired data; Critical values the Wilcoxon signed rank statistics: T; Distribution of T; Two sample rank test
Wilcoxon rank sum: R; Mann-Whitney U statistic
Distribution of R and U; Sample proportion; Point estimate; Interval estimate; Distribution of sample proportion; Confidence interval; Confidence intervals and sample sizes; Upper bound for interval estimate; Sample size determination
Difference in proportion
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