Course Contents
• Sampling and Sampling Distributions: Introduction to sampling, Probability sampling, Non probability sampling.
• Testing Hypothesis: Introduction to hypothesis testing, Null or alternative hypothesis, Type-I and Type-II errors, General procedure for testing hypothesis, Tests based on normal distribution about Mean when variance is known and when unknown, testing hypothesis about difference between two population means, testing hypothesis about a population proportion with large sample size, testing hypothesis about difference between two populations, relationship between confidence interval and tests of hypothesis.
• The Students t- Distribution: introduction to t-distribution, confidence interval estimates of mean from small sample, testing hypothesis about mean of normal population when variance is unknown and sample size is small, testing hypothesis about difference of means of two normal populations with unequal variances, testing hypothesis about difference of means of two normal populations with equal variances, testing hypothesis about two means with paired observations.
• The Chi- Square Distribution: Introduction, Confidence interval estimate of a variance population, testing hypothesis about variance of a normal population, testing hypothesis about p’s of the multinomial distribution, Introduction to Pearson’s Chi-square test for Goodness of fit.
• F- Distribution and Statistical Inference: introduction of F-distribution, confidence interval for the variance ratio, testing hypothesis about the equality of two variances.
• Analysis of Variance: Introduction to one way analysis of variance and two way analysis of variance
Course Synopsis
The main objectives of the course are to enhance students’ competency in application of statistics to solve business management problems and to improve their level of quantitative sophistication for further advanced business analysis.
Course Learning Outcomes
After completing this course, the students will be able to understand various sampling techniques, estimation procedures, various distribution tests which would help them in the research methodology.
Introduction to Statistical inference and its importance:
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Introduction to sampling
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Probability sampling
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Non probability sampling
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Introduction to hypothesis testing
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Null or alternative hypothesis
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Type-I and Type-II errors
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Tests based on normal distribution about Mean when variance is known and when unknown
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Testing hypothesis about difference between two population means
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Testing hypothesis about a population proportion with large sample size
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Testing hypothesis about difference between two populations
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Relationship between confidence interval and tests of hypothesis
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Introduction to t-distribution
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Confidence interval estimates of mean from small sample
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Testing hypothesis about mean of normal population when variance is unknown and sample size is small
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Testing hypothesis about difference of means of two normal populations with unequal variances
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Testing hypothesis about difference of means of two normal populations with equal variances
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Testing hypothesis about two means with paired observations
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Introduction to Chi Square
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Confidence interval estimate of a variance population
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Testing hypothesis about variance of a normal population
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Testing hypothesis about p’s of the multinomial distribution
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Introduction to Pearson’s Chi-square test for Goodness of fit
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Introduction of F-distribution
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Confidence interval for the variance ratio
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Testing hypothesis about the equality of two variances
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Introduction to one way analysis of variance
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Two way analysis of variance
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Book Title : Introduction to Statistical Theory Part II
Author : Prof. Sher Muhammad Chaudhry
Edition :
Publisher : Ilmi Kitab Khana
Book Title : Introduction to Statistics Part II
Author : Dr. Afzal Beig & Miraj Din Mirza
Edition :
Publisher : The Carvan Book House
Title : Introduction to Statistical Inferences
Type : Other
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Title : Probability and non probability Sampling
Type : Other
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