The document outlines the units of a statistics course, including:
Unit I introduces statistics, probability, and probability distributions. Unit II covers sampling distributions and estimation techniques. Unit III is about hypothesis testing of means and proportions using z-tests, t-tests, and ANOVA. Unit IV presents non-parametric methods like chi-square tests, rank tests, and Kolmogorov-Smirnov tests. Unit V concludes with correlation, regression, index numbers, and time series analysis.
Design and Development of a Provenance Capture Platform for Data Science
Statistics syllabus
1. BA9101 STATISTICS FOR MANAGEMENT
UNIT- I
INTRODUCTION TO STATISTICS & PROBABILITY
Statistics definition.Types.types of variable-organising data- discriptive measures.Basic
definitions and rules of probability. Condiional probability independence of events, Baye’s
theorem. And randum variables. Probability distributions: binomial poisson.uniform and
normal distributions.
UNIT-II
SAMPLING DISTRIBUTION AND ESTIMATION
Introduction to sampling distributions. Sampling distribution of mean and
proportion.appliation of central limit theorem.sampling techniques. Estmation : point and
interval estimates for population parameters of large samples or small samples. Determining
the sample size.
UNIT-III
TESTING OF HYPOTHESIS
Hypothesis testing: one sample and two sample test for mean and proportions of large
samples(z -test),one sample and two sample test for mean of samples(t-test),f-test for two
sample standard deviations.ANOVA one and two way-design of experiments.
UNIT-IV
NON -PARAMETRIC METHOD
Chi-square test for single sample standard deviation.chi-square test for independence of
attributes and goodness of fit. Single test for paired data. rank sum test. kolmogorov-smirnov-
test for goodness two population. Mann-whitney U test and kruskal wallis test. One sample
run test. Rank correlation.of fit,comparing
UNIT-V
CORRELATION,REGRESSION,INDEX NUMBER AND TIME SERIES ANALYSIS
2. Correlation analysis, estimation of regression line. Time series analysis: variations in time
series,trend analysis cyclical variation, seasonal variations and irregular variations. Index
numbers-laspeyre’s, paaschee’s and fisher’s ideal index.