Statistics
A Level Statistics Edexcel
Specification link A level Statistics
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Year 1 Statistics |
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| Numerical Measures: Measures of location, measures of spread, outliers and scaling, comparing distributions, suitability of numerical measures. | Probability Theory: Venn diagrams and set notation, 2-way tables, tree diagrams, mutually exclusive and independent events, conditional probability. |
| Data Representation and Interpretation: Reading and interpreting statistical diagrams, misrepresentation and the suitability of statistical diagrams, spreadsheets and databases. | Normal Distribution: Calculation of probabilities, inverse normal, finding µ, σ or both, distribution of the sample mean, binomial to normal approximation. |
| Discrete Random Variables: Tabulating probabilities, mean, median, mode, variance, standard deviation. |
Sampling Methods: Simple Random, Stratified, Systematic, Cluster, Convenience, Snowball Suitability of Sampling Methods |
| Binomial Distribution: Calculation of probabilities, mean, variance, suitability of binomial model, comparing distributions. | Bivariate Data: Product Moment and Spearman’s Rank Correlation Coefficient, Regression Line, Hypothesis Testing for PMCC and Spearman’s rank. |
| Contingency Tables: Calculation of expected values and hypothesis test for independence. | Hypothesis Testing: For population mean µ, for binomial proportion p. |
| Statistical Enquiry Cycle: to include initial planning, data collection, data processing and presentation, interpretation of results, evaluation and review. | Non parametric Hypothesis Tests: Single and paired sample sign test, single and paired sample Wilcoxon Test, Wilcoxon Rank Sum Test. |
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Year 2 Statistics |
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| Poisson: Calculation of probabilities, mean, variance, suitability of poisson model, sum of 2 poisson distributions. | Linear Combinations of Normal Variables: Adding and subtracting normal variables, multiplying normal variables by a constant. |
| Confidence Intervals and Hypothesis Tests for population mean µ: to include z and t distribution and central limit theorem. | Concepts in Hypothesis Testing: Type I and type II errors, critical regions for normal and proportion, calculating type II errors and power of test. |
| Rectangular and Exponential Distributions: Calculation of probabilities, mean, variance. | Hypothesis Tests between two parameters: difference between two population means (z and t), difference between two population proportions |
| Goodness of Fit: Ratio, proportion, binomial, poisson, normal, exponential | Bayes Theorem: Extension of conditional probability from year 1. |
| Experimental Design: Terminology and paired t test. | ANOVA: 1 factor and 2 factor, effect size, cohen’s d. |