Hypothesis testing is one of the most important concepts in statistics, especially in inferential statistics. The basis of the statistical hypothesis test and different terminologies (p-value, level of significance, type 1 and type 2 errors)will be explained elaborately. Students will be capable to infer a population mean, proportion, differences between means or proportions, and the relationships between variables and many others. The students will come to know the process of formulating and conducting the hypothesis test step by step. They will gain an insight view of different types of a statistical hypothesis tests. First of all, students will get basic ideas about normal distribution, which is the basis of all the statistical tests and the most widely used distribution too. Along with the normal distribution, they get knowledge about an empirical rule. They will be able to distinguish between the t-test and z-test. This course also includes the test for qualitative data, which is the chi-square test. The course will lay the foundation for the advanced level of a statistical hypothesis test. It will be very helpful to understand and infer the different models and algorithms in data science and machine learning. Specially, those who are interested to advance their careers in data science and machine learning should complete the course
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Introduction
1.1-Introduction to the course
1.2-Insrtructor
1.3-what is statistical hypothesis testing
1.4-Learning outcomes of the course
Definition and basic terminologies
2.1-defination of statistical hypothesis
2.2-Steps of hypothesis testing: null hypothesis and alternative hypothesis
2.3-Continue-Steps of hypothesis testing-more-steps
2.4-Criteria of a hypothesis-test-type-I and type-II errors
2.5-Example-type-I and type-II errors
2.6-Statistical significant
2.7-Understanding p-value
2.8-p-value example
2.9-type of statistical tests
2.10-conditions for hypothesis test
Sec2
z-test or normal test for one sample mean
3.0-Normal distribution
3.1-introduction-z-normal-test-
3.2-One Sample z-Test for the Population Mean-basics
3.3-One Sample z-Test-Population Mean-TwoTailedexample-1
3.4-One Sample z-Test-Population Mean–OneTailed-example-2
3.5-One Sample z-Test-Population Mean-More-examples
One Sample z-test for sample proportion
4.1-One Sample z-test-proportion-TwoTailed-example1
4.2-p-value-z-test-proportion-TwoTailed-example1-continue
4.3-One Sample z-test-proportion-more-examples
z-test for two samples mean and proportion
5.1-z-test-two-samples-mean-two-tailed
5.2-z-test-two-samples-proportion-two-tailed
t-test-one-sample-mean
6.1-t-test-basics-conditions
6.2-t-test-one-sample-mean-two-tailed
6.3-continue-t-test-one-sample-mean-two-tailed-p-value
6.4-t-test-one-sample-mean-one-tailed
t-test for two samples
(7.1) t-test-two-samples-independent-basics
7.2-t-test-two-samples-independent-example
7.3-t-test-two-samples-paired-basics
7.4-t-test-two-samples-paired-example
Chi-square test of goodness-of-fit and independence
8.1-chi-square-test-basics
8.2-chi-square-goodness-of-fit-example-1
8.3-chi-square-goodness-of-fit-more-examples
8.4-chi-square-test-of-independence-example-1
8.5-chi-square-test-of-independence-example-2
Analysis of variance (ANOVA)
9.1-introduction-ANOVA-basics
9.2-ANOVA-oneway-example-1
9.3-ANOVA-oneway-more-examples
Bonus lecture
Bonus lecture