PROBABILITY and STATISTICS

TOPICS OF PROBABILITY and STATISTICS

➣Understanding Data

➣Data Collection and Uni-variate Distributions

➣Exploring Bivariate Distributions

➣Probability

➣Discrete Probability Distributions

➣Continuous Probability Distributions

➣Multivariate Probability Distributions

➣Sampling Distributions, and Control Charts

➣Estimation

➣Hypothesis Testing

➣Inference for Regression Parameters

➣ANOVA

TRAINING HIGHLIGHTS

➣The training curriculum is designed to prepare the participants to explore Univariate, Bivariate and Multivariate Probability distributions and tasks such as Hypothesis Testing.

➣Participants will be provided enough examples and illustrations to analyze and perform ANOVA

➣Usage of Real Time Example and Case study provide confidence to the participants

➣Data from one or more areas of interest will be taken as a case study and a detailed analysis is performed

➣All calculations and analysis are done using MS EXCEL 2010 or SPSS. The spread sheets/data files used for the training will be shared with the participants.

➣The course is participative

PRE REQUISITES

Participants are not expected to have any Statistical knowledge as this training starts from the basic.

TOPICS covered

 Methods of Data Collection Planning and Conducting Surveys Planning and Conducting Experiments Planning and Conducting an Observational Study Types of Data Frequency Distribution Tables Graphical Methods Tools for Describing Data: Numerical Measures Summary Measures and Decisions Two-Way Table for Categorical Data Scatterplots Correlation Regression: Modeling Linear Relationships Fitting the model: The least-squares approach Using the model for prediction Coefficient of Determination Residual Analysis Transformations Definition of Probability Counting Rules Useful in Probability Conditional Probability and Independence Rules of Probability Odds and Odds Ratios Random Variables and Their Probability Distributions Expected Values of Random Variables Bernoulli Distribution Binomial Distribution Geometric and Negative Binomial Distributions Poisson Distribution Hypergeometric Distribution Moment-Generating Function Simulating Probability Distributions Continuous Random Variables and Their Probability Distributions Expected Values of Continuous Random Variables Uniform Distribution Exponential Distribution Gamma Distribution Normal Distribution Lognormal Distribution Beta Distribution Weibull Distribution Reliability Moment-Generating Functions for Continuous Random Variables Simulating Probability Distributions Bivariate and Marginal Probability Distributions Conditional Probability Distributions Independent Random Variables Expected Values of Functions of Random Variables Multinomial Distribution More on the Moment-Generating Function Conditional Expectations Sampling Distribution of X-bar Sampling Distribution of Sample Proportion Y/N Sampling Distributions: The Multiple-Sample Case Control Charts Process Capability Point Estimators and Their Properties Confidence Intervals: The Single-Sample Case Confidence Intervals: The Multiple Samples Case Prediction Intervals Tolerance Intervals Method Of Maximum Likelihood Terminology Hypothesis Testing: The Single-Sample Case Multiple-Sample Case Chi-Squared Tests on Frequency Data Goodness of Fit Tests Acceptance Sampling Regression Models with One Predictor Variable Probability Distribution of the Random Error Component Making Inferences about Slope Linear Model for Estimation and Prediction Multiple Regression Analysis Inference in Multiple Regression Model Building: A Test for a Portion of a Model Other Regression Models Checking Conditions and Some Pitfalls Review of Designed Experiments Analysis of Variance (ANOVA) Technique Completely Randomized Design Relation of ANOVA for CRD with a t-Test Relation of ANOVA for CRD with a Regression Analysis of Variance for the Randomized Block Design Factorial Experiment

Note - Course content and topics to be covered in the training can be customized as per requirement for Corporates.

FEES for Corporates

Based on the syllabus, contents and other requirements for the corporate training, scope with detailed inclusions and exclusions along with the fee will be shared.