ANOVA vs 2 sample t-test

[noko1100]

Hi, I hope someone can help me with my doubts.

I am confused regarding the use of these tools. I have read a lot info on internet ,

I know that:

ANOVA help you to comprae more than two samples
2 sample T test help you to Compare two samples with each other

My doubt is that some websites says that you can use the ANOVA instead of 2 sample T test to compare two samples with each other

is this correct?


thanks in advance


regards

 

[Bev D]

Yes you can use ANOVA for comparing the means of two samples. You can also use ANOM (Analysis of Means), confidence intervals as well as Tukey Duckworth Endcount approach. There are many statistical tests for comparing the difference in means...each has its own strengths and weaknesses...

 

[noko1100]

Yes you can use ANOVA for comparing the means of two samples. You can also use ANOM (Analysis of Means), confidence intervals as well as Tukey Duckworth Endcount approach. There are many statistical tests for comparing the difference in means...each has its own strengths and weaknesses...

Thank you for your respond.

I would not want to take advantage of your help but which would be fundament for using two instead of three samples with the ANOVA

Minitab requires minimun 3 samples for the ANOVA

thanks in advance

 

[Miner]

No, Minitab does not require three. Attached is the Minitab Furnace.MTW data set analyzed both as a 2-sample t-test and as a 1-way ANOVA. Notice that the conclusion is the same for both methods.

 

[Bev D]

Minitab requires minimun 3 samples for the ANOVA

Are you referring to '3' levels of a factor (example 3 different process settings for temperature or 3 different vendors for some material)
OR
a sample size of 3 (data points) for each level of a factor?

I am not familiar with Minitab - but Miner is and I trust his answer regarding the ability of Minitab to perform ANOVA on 2 levels of a factor (a "two-sample" test)

 

[Statistical Steven]

No, Minitab does not require three. Attached is the Minitab Furnace.MTW data set analyzed both as a 2-sample t-test and as a 1-way ANOVA. Notice that the conclusion is the same for both methods.

Just a point of clarification, the p-value will be IDENTICAL if you assumed equal variance. The difference in p-values in the assumption of unequal variance for the two-sample t-test.

 

[Miner]

Good catch. Got in a hurry.