Question

In: Statistics and Probability

A health researcher was interested in the variation of patient recovery rates across four different treatment...

A health researcher was interested in the variation of patient recovery rates across four different treatment programs. She compared three different treatment programs (Placebo, Drux X, and Wait List Control) to examine whether the treatment program the patient was in had an influence on the patient's recovery rate.

What type of ANOVA is described in the above paragraph?

What is the null hypothesis?

Her ANOVA had the following results: F(2,28) = 98.12, p = .020). Is the F statistic significant? What decision do you make about the null hypothesis?

Interpret the results of this study. If more information is needed, describe what type of information you would need.

Expert Solution

The type of ANOVA described above is one-way ANOVA.

This is one-way ANOVA because we are testing whether the different treatment program affect the recovery rate of the patient or not, that is whether the mean time required for the recovery of the patient is same under all treatment effect or different.

The Null and alternative hypothesis is:

Ho:-The recovery time is the same for all the different treatment methods.

H1:- The recovery time is different for all the different treatment methods.

Following results were obtained

F(2,28)=98.12 and p-value=0.02

The table value for F distribution is 19.58

hence as calculated value is greater than observed table value the F test statistic is significant.

As the type-1-error, alpha is not specified let us take that to be 0.05

As p-value is less than 0.05 reject Ho that is the recovery time is different for all the different treatment methods.

Hence the recovery time is different for all the different treatments.

orchestra answered 1 year ago

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