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How do you compare the means of two independent populations?
As with comparing two population proportions, when we compare two population means from independent populations, the interest is in the difference of the two means. In other words, if is the population mean from population 1 and is the population mean from population 2, then the difference is μ 1 − μ 2 .
How do you compare the means of two samples?
Comparison of Means Techniques
- Independent Samples T-Test. Use the independent samples t-test when you want to compare means for two data sets that are independent from each other.
- One sample T-Test.
- Paired Samples T-Test.
- One way Analysis of Variance (ANOVA).
Are two samples from the same population?
Independent groups mean that the two samples taken are independent, that is, sample values selected from one population are not related in any way to sample values selected from the other population. Matched pairs consist of two samples that are dependent.
How to calculate two independent sample comparison of means?
While you will not be asked to calculate a two independent sample test statistic, you should be able to properly interpret a comparison of means test for two independent samples (understand/interpret hypotheses, test statistic and p-value). For an example of the two sample Welch’s test, click here. 4.
How big does a sample have to be to be an independent statistic?
The test statistic has the standard normal distribution. The samples must be independent, and each sample must be large: n1 ≥ 30 and n2 ≥ 30. Refer to Example 9.1.1 concerning the mean satisfaction levels of customers of two competing cable television companies.
When is a sample from two distinct populations independent?
Samples from two distinct populations are independent if each one is drawn without reference to the other, and has no connection with the other. Our goal is to use the information in the samples to estimate the difference μ1 − μ2 in the means of the two populations and to make statistically valid inferences about it.
How to conduct a comparison of means test?
General Steps in Conducting a Comparison of Means Test 1. Decide type of comparison of means test. (one sample, two sample, paired samples) 2. Decide whether a one- or two-sided test. 3. Examine the appropriateness of a comparison of means test (based on the assumptions)***. 4. Establish null and alternative hypotheses.