How do you know if two samples are statistically different?

3.2 How to test for differences between samples

How do you know if two samples are statistically different?

3.2 How to test for differences between samples

  1. Decide on a hypothesis to test, often called the “null hypothesis” (H0 ). In our case, the hypothesis is that there is no difference between sets of samples.
  2. Decide on a statistic to test the truth of the null hypothesis.
  3. Calculate the statistic.
  4. Compare it to a reference value to establish significance, the P-value.

How can you tell if two groups are statistically different?

The following statistical tests are commonly used to analyze differences between groups:

  1. T-Test. A t-test is used to determine if the scores of two groups differ on a single variable.
  2. Matched Pairs T-Test.
  3. Analysis of Variance (ANOVA)

What is Anova test used for?

Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests. A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

Can I use Anova to compare two means?

For a comparison of more than two group means the one-way analysis of variance (ANOVA) is the appropriate method instead of the t test. The ANOVA method assesses the relative size of variance among group means (between group variance) compared to the average variance within groups (within group variance).

How do you analyze Anova results?

Interpret the key results for One-Way ANOVA

  1. Step 1: Determine whether the differences between group means are statistically significant.
  2. Step 2: Examine the group means.
  3. Step 3: Compare the group means.
  4. Step 4: Determine how well the model fits your data.
  5. Step 5: Determine whether your model meets the assumptions of the analysis.

What is Chi-Square t test and Anova?

Chi-Square test is used when we perform hypothesis testing on two categorical variables from a single population or we can say that to compare categorical variables from a single population. By this we find is there any significant association between the two categorical variables.

How do I combine two variables in SPSS?

Click the “Transform” menu at the top of the window and select “Compute” from the drop-down menu to open the Compute Variable dialog box. Type the name of your new variable in the space under “Target Variable.” This is the name of the variable you are creating by adding two or more other variables together.

What is data viewer in SPSS?

Data Entry in SPSS is the most important task involved in any analysis. As soon as SPSS opens, a window will appear, which is called the “data viewer window.” In SPSS, data viewer column value is known as the record measure or the variable and row to identify the case (or subject).

What is the grouping variable in SPSS t test?

The categories (or groups) of the independent variable will define which samples will be compared in the t test. The grouping variable must have at least two categories (groups); it may have more than two categories but a t test can only compare two groups, so you will need to specify which two groups to compare.

How do you compare two treatment groups?

When comparing two groups, you need to decide whether to use a paired test. When comparing three or more groups, the term paired is not apt and the term repeated measures is used instead. Use an unpaired test to compare groups when the individual values are not paired or matched with one another.

How do you perform an Anova test?


  1. Find the mean for each of the groups.
  2. Find the overall mean (the mean of the groups combined).
  3. Find the Within Group Variation; the total deviation of each member’s score from the Group Mean.
  4. Find the Between Group Variation: the deviation of each Group Mean from the Overall Mean.

How do I compare two groups in SPSS?

The Compare Means procedure is useful when you want to summarize and compare differences in descriptive statistics across one or more factors, or categorical variables. To open the Compare Means procedure, click Analyze > Compare Means > Means. A Dependent List: The continuous numeric variables to be analyzed.

How do I group data in SPSS?

Splitting using Organize Output by Groups

  1. Click Data > Split File.
  2. Select the option Organize output by groups.
  3. Double-click the variable Gender to move it to the Groups Based on field.
  4. When you are finished, click OK.

How do you compare two means groups?

The compare means t-test is used to compare the mean of a variable in one group to the mean of the same variable in one, or more, other groups. The null hypothesis for the difference between the groups in the population is set to zero.