# Syllabus

• ### Basics

• Variables,
• Population vs sample,
• Central tendency,
• Variability,
• Position
• ### Charts and Graphs

• Patterns in data
• Dot plots
• Histograms
• Stem plots
• Box plots
• Cumulative plots
• Scatter plots
• Comparing data sets
• ### Regression

• Measurement scales
• linear correlation
• linear regression
• Residual analysis
• Transformations,
• Influential points
• Testing of regression slope and intercept
• Regression Analysis
• Testing of significance of regression equation
• Multiple regression analysis
• Confidence interval for conditional mean of the response variable
• Prediction interval for an observed value of the response variable

• ### Data Condensation

• Classification of DataClassification of Data
• Classes
• Frequency
• Individual data
• Discrete Data
• Continuous / Grouped Data
• ### Measure of Central tendency

• Arithmetic Mean
• Median
• Mode
• Harmonic mean
• Geometric Mean
• Weighted Mean
• Trimmed Mean
• Quartiles
• Deciles
• Percentiles
• ### Measure of Dispersion

• Range
• Coefficient of Range
• Quartile deviation
• Coefficient of quartile deviation
• Variance
• Standard deviation
• Coefficient of Variation (CV).
• ### Skewness and Kurtosis

• Types of Skewness and its measures
• Types of Kurtosis and its measures
• ### Moments

• Raw Moments
• Central Moments
• Relation between raw and central moments.

• ### Surveys

• Data collection
• Sampling methods
• Bias in surveys
• ### Experiments

• Introduction to experiments
• Set
• Subset
• Sample space
• Events and its types,
• Set Identities.
• ### Probability

• Methods of Counting
• Permutation
• Combination
• Probability introduction
• Rules of probability
• Theorems on probability.
• ### Random variables

• Introduction
• Distributions
• Mean and variance
• Independence.
• ### Discrete variables and distributions

• Bernoulli Distribution
• Binomial Distribution
• Negative Binomial Distribution
• Discrete Uniform Distribution
• Poisson Distribution
• Geometric Distribution
• Hypergeometric Distribution
• Multinomial Distribution
• ### Continuous variables

• Continuous Uniform Distribution
• Exponential Distribution
• Normal Distribution
• Standard normal Distribution
• t Distribution,
• Chi-square Distribution
• F  Distribution
• Beta Distribution
• Gamma Distribution
• Cauchy  Distribution
• Lognormal Distribution
• Weibull Distribution
• Pareto Distribution
• ### Sampling distributions

• Sampling distribution
• Sampling distribution of Mean
• Sampling distribution of Proportion
• Sampling distribution of Variance/Standard Deviation
• Difference between proportions
• Difference between means
• Differnce between Variances

• ### Estimation:

• Estimation problems
• Standard error
• Margin of error
• Confidence intervals for:
• Proportions
• Difference between proportions
• Mean
• Difference between means
• Difference between pairs
• Regression slope
• Correlation
• Variance
• Standard Deviation
• ### Hypothesis testing:

• Hypothesis test introduction,
• How to test (Procedure)
• Type I-Error
• Type II-Error
• Power of test
• ### Hypothesis tests Procedures:

• Proportions
• Difference between proportions
• Mean Difference between means
• Difference between pairs (Paired t test)
• Goodness of fit test, Homogeneity
• Chi square test of independence
• Chi-square test of Variance and Standard Deviation
• F test for Equality of Variances
• ANOVA