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Statistics Q&A's
 
Confidence Intervals (1) Confidence limits. Mean and difference of means of normal distributions with known variances.
Confidence Intervals (2) Further confidence limits for unknown means when variances are unknown. Large sample approximations.
Continuous Distributions Continuous probability functions. Calculation of the mean and variance and use of expectation function. Particular applications to the uniform and normal distributions. Sum of n independent random variables is approximately normal.
Descriptive Statistics Graphical ways of presenting data and methods for summarising the derived distributions.
Discrete Distributions Discrete probability functions. Calculation of the mean and variance and use of the expectation function. Particular applications to the Binomial and Poisson distributions. Poisson approximation to the binomial.
Distribution of Sample Means Properties of random samples. Distribution of the sample mean and use of the Central Limit Theorem.
Estimation Estimation of population parameters. Unbiased estimators and variance criterion to choose best estimator.
Hypothesis Testing (1) Hypothesis testing, significance levels and p values. Tests for the mean of a Binomial, Poisson or normal distribution. Difference of normal means with known variances.
Hypothesis Testing (2) Further hypothesis testing for means and difference of means when the variances are unknown. Large sample approximations.
Probability Random experiments, sample spaces and rules of probability. Conditional probability, Law of Total Probability and Bayes’ Theorem.
Regression Least squares methodology for fitting a straight line. Hypothesis test and confidence limits for estimated parameters of specified regression models.
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