Analysis of Variance (ANOVA) is an extension of the two sample hypothesis testing for comparing means to more than two samples. The following topics are described in greater detail.


10 Responses to ANOVA

  1. George says:

    Hi Charles, thanks a lot for your website. I twice arrived at your website over a period of 2 years. Thought I might try asking you this question I’ve long had.

    What’s the difference between ANOVA and regression? I get the impression regression analyses variance, and thereby reaches the line of regression. So isn’t that “Use ANOVA to regress”? Thanks. So isn’t ANOVA and regression really just the same thing, start with ANOVA, end with line of regression.

    Would appreciate some clarification please. Thanks.

  2. Kim says:

    Hi Charles,

    Can you explain to me why when we test shapiro-wilks in excel using your calculations versus shapiro-wilks in SAS we get different results?


    • Charles says:

      I don’t know how SAS calculates Shapiro-Wilk. What was the p-value you got from SAS and what was it in Excel? How big is your sample?

  3. L.A. says:

    Hi Charles!

    I have an RCBD experiment testing 7 treatments with 3 replications each. I am trying to find out which treatment generates the highest yield. Is two-way ANOVA an appropriate test for this? If so, then can I use Tukey’s HSD test after it when significant differences are detected?

    • Charles says:

      Hi L.A.
      I will be addressing these sorts of problems in the next release of the Real Statistics Resource Pack.

  4. Maddie says:

    how do you calculate f ratios for interactions?

  5. paul says:

    how do i calculate p value using real statistics

    • Charles says:

      If you mean the p-value for ANOVA, just use Real Statistics’ ANOVA data analysis tool. You can download the software for free and then follow the instructions on the website.

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