Contents of Unit – 4

• SL 4.1 – Concepts, reliability and sampling techniques
• SL 4.2 – Histograms, CF graphs, box plots
• SL 4.3 – Mean, median, mode, mean of grouped data, standard deviation, quartiles, IQR
• SL 4.4 – Pearson’s correlation coefficient, scatter diagrams, equation of y on x
• SL 4.5 – Probability concepts, expected numbers
• SL 4.6 – Combined, mutually exclusive, conditional, independence, probability diagrams
• SL 4.7 – Discrete random variables
• SL 4.8 – Binomial distribution
• SL 4.9 – Normal distribution and calculations
• SL 4.10 – Spearman’s rank correlation coefficient
• SL 4.11 – Expected and observed frequencies, hypotheses, chi-squared, goodness of fit (GOF), t-test
• HL 4.12 – Data collection, reliability and validity tests
• HL 4.13 – Non-linear regression
• HL 4.14 – Linear transformation of a single random variable (RV), E(X) and Var(X), unbiased estimators
• HL 4.15 – Central limit theorem
• HL 4.16 – Confidence intervals
• HL 4.17 – Poisson distribution
• HL 4.18 – T-test and Z-test, Type I and Type II errors
• HL 4.19 – Transition matrices (Markov chains)