Create Time: 30th Dec 2023
Title: "[[Hypothesis-Testing-Two-Population]]"
status: DONE
Author:
- AllenYGY
tags:
- Hypothesis-Testing
- Lec4
- NOTE
- ProbabilityStatics
created: 2023-12-31T17:35
updated: 2024-04-08T20:13
Hypothesis-Testing-Two-Population
Use the difference between 2 sample means
The Point estimate for the difference is
Test statistic is a z statistic
The standard error of
The test statistic for
The confidence interval
Test statistic is a t statistic with (n1 + n2 – 2) degrees of freedom
The population variances are assumed equal, so use the two sample variances and pool them to estimate the common
The test statistic for
The confidence interval
Samples are randomly and independently drawn
Populations are normally distributed or both sample sizes are at least 30
The population variances are not assumed equal, so include the two sample variances in the computation of the t-test statistic
The test statistic is a t statistic with
The number of degrees of freedom is the integer portion of:
The test statistic for
The confidence interval
Dependent samples are samples that are paired or related in some fashion.
Paired (matched)-Sample T Test, the test statistic for
The confidence interval for
The point estimate for the difference is
Mean:
Standard deviation:
if
if
The test statistic for
The confidence interval for
Compared two independent samples
Compared two related samples (paired samples)
Compared two population proportions