Edexcel A Level Further Mathematics Statistics
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Description
Contents
Reviews
Language
English
ISBN
9781510434592
Cover
Title Page
Copyright
Contents
Getting the most from this book
Prior knowledge
1 Statistical problem solving
1.1 The problem solving cycle
2 Discrete random variables
2.1 Conditions for discrete random variables
2.2 Expectation and variance
2.3 Linear functions of random variables
3 Discrete probability distributions
3.1 The binomial distribution
3.2 The Poisson distribution
3.3 Applications of the Poisson distribution
3.4 The discrete uniform distribution
4 Chi-squared tests
4.1 The chi-squared test for a contingency table
4.2 Goodness of fit tests
Practice questions: set 1
5 Measuring correlation
5.1 Product moment correlation
5.2 Rank correlation
6 Linear regression
6.1 The least squares regression line
6.2 Residual sum of squares
7 Continuous random variables
7.1 Probability density function
7.2 Measures of average and spread for a continuous distribution
7.3 The expectation and variance of a function of X
7.4 The cumulative distribution function, F
7.5 The continuous uniform (rectangular) distribution
8 Conditional probability
8.1 Screening tests
Practice questions: set 2
9 Further discrete distributions
9.1 Repeating trials until success is achieved
9.2 The negative binomial distribution
9.3 Testing the parameter in a discrete distribution
10 The Central Limit Theorem
10.1 The sampling distribution of the mean
11 Quality of tests
11.1 The power of a test
12 Probability generating functions
12.1 Probabilities defined by a probability generating function
12.2 Expectation and variance
12.3 The PGF of the sum of independent random variables
Practice questions: set 3
13 Expectation algebra and the Normal distribution
13.1 The sums and differences of Normal variables
13.2 Modelling discrete situations
13.3 More than two independent random variables
13.4 The distribution of the sample mean
14 Confidence intervals for the mean
14.1 The theory of confidence intervals
14.2 Interpreting sample data using the t-distribution
14.3 Confidence intervals for the difference between two means
15 Hypothesis tests on the mean
15.1 Testing the mean and variance of a single sample
15.2 Testing the difference of the means of two populations
16 Estimation
16.1 Bias in estimators
16.2 Estimators for the population mean and variance
17 Variance: confidence intervals and hypothesis tests
17.1 The distribution of of S2
17.2 Hypothesis test for the difference in population variances
Practice questions: set 4
Answers
Index
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