One-Way Analysis of Variance (ANOVA)

The most familiar one-way anovas are "fixed effect" or "model I" anovas. The different groups are interesting, and you want to know which are different from each other. As an example, you might compare the AAM length of the mussel species Mytilus edulis, Mytilus galloprovincialis, Mytilus trossulus and Mytilus californianus; you'd want to know which had the longest AAM, which was shortest, whether M. edulis was significantly different from M. trossulus, etc.

Figure 6-3 One-Way ANOVA dialog with Tukey HSD test selected

The data for one-way ANOVA can be arranged in two ways, asshown below.
Photo provided by

Click on the Options button in the One-Way ANOVA dialog box.

Several people have put together web pages that will perform a one-way anova; one good one is It is easy to use, and will handle three to 26 groups and 3 to 1024 observations per group. It does not do the Tukey-Kramer test and does not partition the variance.

Hypothesis 1 Null hypothesis:.ANOVA.

Some versions of Excel include an "Analysis Toolpak," which includes an "Anova: Single Factor" function that will do a one-way anova. You can use it if you want, but I can't help you with it. It does not include any techniques for unplanned comparisons of means, and it does not partition the variance.

In the OneWay ANOVA dialog box, click on the OK button to perform the analysis of variance.
Photo provided by

Oneway ANOVA Explanation and Example in R; ..

If you have only two groups, you can do a This is mathematically equivalent to an anova and will yield the exact same P value, so if all you'll ever do is comparisons of two groups, you might as well call them t–tests. If you're going to do some comparisons of two groups, and some with more than two groups, it will probably be less confusing if you call all of your tests one-way anovas.

Usually we would like to reject the null hypothesis

The usual way to graph the results of a one-way anova is with a bar graph. The heights of the bars indicate the means, and there's usually some kind of error bar, either or . Be sure to say in the figure caption what the error bars represent.

That is the equivalent omnibus test to a traditional Oneway ANOVA.

Analyzing the log-transformed data with one-way anova, the result is F6,76=11.72, P=2.9×10−9. So there is very significant variation in mean genome size among these seven taxonomic groups of crustaceans.

The null hypothesis is H0: β1 = 0.

With acritical value of .05, the critical F = 3.219. Therefore, since the Fstatistic is smaller than the critical value, we fail to reject the nullhypothesis. Remember from above, the null hypothesis was that all 3 ofthese groups' means were equal. So, we fail to reject that real estateagents, stockbrokers and architects have the same level of job-relatedstress. Apparently, the differences we saw in this sample were simply dueto random sampling error.

One-Way Analysis of Variance (ANOVA) - Whitman …

CONDUIT Pillai's Trace.615: 2.401(a) 2.000: 3.000.238: Wilks' Lambda.385.
Factorial ANOVA, Two Mixed Factors (Jump to: Lecture [Week] If F is greater than 3.49, reject the null hypothesis.

SPSS data analysis report using a one-way ANOVA, ..

PROC GLM doesn't calculate the variance components for an anova. Instead, you use PROC VARCOMP. You set it up just like PROC GLM, with the addition of METHOD=TYPE1 (where "TYPE1" includes the numeral 1, not the letter el. The procedure has four different methods for estimating the variance components, and TYPE1 seems to be the same technique as the one I've described above. Here's how to do the one-way anova, including estimating the variance components, for the mussel shell example.