FOUNDATION COURSES 


APPLIED STATISTICS 


UNIT-I                                                                                              

The Role of Statistics in Engineering : The Engineering Method and Statistical Thinking -  Collecting Engineering Data - Basic Principles - Retrospective Study - Observational Study - Designed Experiments -Observing Processes Over Time - Mechanistic and Empirical Models

Data Description and Representation: Collection of data- Classification and Tabulation of data - Stem-and-Leaf Diagrams -  Frequency Distributions and Histograms - Box Plots -  Time Sequence Plots - Probability Plots .

 

UNIT-II                                                                                            

Descriptive Statistics: Measures of central Tendency-Measures of Dispersion-Skewness and Kurtosis. Correlation and Regression:  Scatter Diagram – Types of Correlation – Karl Pearsons Coefficient of Correlation and Spearmen’s Rank Correlations- Method of Least Squares – Linear Regression.

 

UNIT-III                                                                                        

Sampling: Different types of sampling - Sampling Distributions - Sampling Distribution of Mean.

Point Estimation of Parameters: General Concepts of Point Estimation - Unbiased Estimators -Variance of a Point Estimator - Standard Error- Methods of Point Estimation (Method of Moments -  Method of Maximum Likelihood).

Statistical Intervals for a Single Sample: Confidence Interval on the Mean of a Normal Distribution with Variance Known - Confidence Interval on the Mean of a Normal Distribution with Variance Unknown - Confidence Interval on the Variance and Standard Deviation of a Normal Distribution - A Large-Sample Confidence Interval for a Population Proportion

 

UNIT-IV                                                                                  

Tests of Hypotheses for a Single Sample: Tests of Statistical Hypotheses - General Procedure for Hypothesis Testing –Tests on the Mean of a Normal Distribution with Variance Known - Tests on the Mean of a Normal Distribution with Variance Unknown -  Tests on the Variance and Standard Deviation of a Normal Distribution.

Statistical Inference for Two Samples: Inference For a Difference in Means of Two Normal Distributions with Variances Known - Inference For a Difference in Means of Two Normal Distributions with Variances Unknown -Inference on the Variances of Two Normal Distributions – Inference on Two Population Proportions.

 

UNIT-V                                                                              

The Analysis of Variance: Concept-Assumptions-One way classification and two-way classifications.

Designing Engineering Experiments –Concept of Randomization, Replication and local control - Completely Randomized Design -Randomized Block Design –Latin square Design.