MKC2500 Lecture Notes - Lecture 20: Null Hypothesis, Statistical Hypothesis Testing, Standard Deviation

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18 Jun 2018

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ETC2500 Notes

t-test distribution: A univariate hypothesis test using the t distribution which is

used when the standard deviation is unknown and the sample size is small

Different types of tests

Tests of association

Tests of differences

• Chi-squared test for two

categorical variables (week

• Correlation (week 10)

• One sample t-test (week 7)

• Paired t-test (week 9)

• Two independent samples t-test

(week 9)

• Analysis of Variance (week 9)

Hypothesis Tests related to differences

t statistic: Assumes the variable has a symmetric bell-shaped distribution, the

mean is known, the population variance is estimated from the sample

t distribution: A symmetric bell-shaped distribution that is useful for small-

sample (n < 30) testing

Hypothesis Testing based on the t Statistic

1. Formulate the null (H0) and the alternative (H1) hypotheses

2. Select the appropriate formula for the t statistic

3. Chose a level of significance, a, for testing H0 - Usually 0.05 level is used

4. Collect data and calculate t Statistic (TSCAL)

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