Question

1. In a study to examine the effects of homeopathic treatment of wounds, researchers sutured a deep muscular incision on anesthetized rats and randomly assigned rats to 5 treatments: a placebo (sugar water), two homeopathic remedies (Arnica and Staphisagria) each administered at two levels of dilution. The treatments were consumed daily by the rats, and the time it took (in days) til healing was complete was measured for each (see columns healing time and treatment in your HW5b spreadsheet). Is there significant evidence that healing time is associated with treatment?

1. Set up an appropriate null and alternate hypothesis
2. Report an F statistic, df, and P value
3. do you accept or reject the null?
4. Run a Tukey’s test to determine where any differences occur. Display and interpret the results of this test.

5. healing time	treatment
   21	placebo
   22	placebo
   22	placebo
   21	placebo
   22	placebo
   21	placebo
   20	placebo
   22	placebo
   21	placebo
   21	placebo
   22	placebo
   23	placebo
   21	placebo
   22	placebo
   21	placebo
   16	arnica low
   15	arnica low
   16	arnica low
   15	arnica low
   15	arnica low
   16	arnica low
   16	arnica low
   15	arnica low
   15	arnica low
   16	arnica low
   15	arnica low
   16	arnica low
   16	arnica low
   15	arnica low
   15	arnica low
   16	arnica high
   16	arnica high
   16	arnica high
   16	arnica high
   15	arnica high
   15	arnica high
   16	arnica high
   16	arnica high
   16	arnica high
   15	arnica high
   16	arnica high
   16	arnica high
   15	arnica high
   16	arnica high
   15	arnica high
   15	staphis low
   15	staphis low
   16	staphis low
   16	staphis low
   15	staphis low
   16	staphis low
   15	staphis low
   15	staphis low
   16	staphis low
   16	staphis low
   16	staphis low
   15	staphis low
   15	staphis low
   16	staphis low
   15	staphis low
   16	staphis high
   16	staphis high
   16	staphis high
   15	staphis high
   15	staphis high
   16	staphis high
   16	staphis high
   16	staphis high
   15	staphis high
   16	staphis high
   15	staphis high
   16	staphis high
   15	staphis high
   15	staphis high
   16	staphis high

Answer 1

(a): Null and Alternative Hypothesis:

In words:

H0 : There is no significant difference between the mean of healing time of five group.

H1 : There is a significant difference between the mean of healing time of five group.

other way:

Using SPSS Software:

Make variable in Variable View:

Give name of five category in treament variable click on three dots in Values Column:

Enter the data in Data View:

Now Use One Way ANOVA:

Steps in SPSS: Analyze-->Compare Means-->One Way ANOVA

Select the healing time data in Dependent List and treatment in Factor and then Click on Post Hoc:

Tick on the Tukey For Multilple Comparisons and Continue and OK:

Output:

(b):

F-Staistics with degree of freedom (4,70) = 332.500 and P-value = 0.000

(c): P-value is less than 0.05, so we reject the null hypothesis.

(d):

Here p-value between placebo and arnica low , plaebo and arnica high , placebo and staphis low & placebo and staphis high is less than 0.05, it is means there is significant difference.

Here p-value between arnica low and arnica high , arnica low and staphis low & arnica low and staphis high is greater than 0.05, it is means there is no significant difference.

Here p-value between arnica high and staphis low & arnica high and staphis high is greater than 0.05, it is means there is no significant difference.

Here p-value between staphis low and staphis high is greater than 0.05, it is means there is no significant difference.