00:01
An experiment on mung beans was performed to investigate the environmental effects of salinity and water temperature on sprouting.
00:06
40 beans were randomly allocated to each of 36 petri dishes and were subject to one of the four levels of salinity, 0 ,4 ,8, and 12.
00:15
And one of the three temperatures, 32, 34, and 36 degrees celsius.
00:19
After 48 hours, the biomass of the sprouts was measured.
00:22
Here are partial box spots of biomass on salinity and temperature.
00:27
You can see what the interaction plot shows.
00:29
A 2 -a nova model is fit, and the following anova table results are shown.
00:38
State the hypotheses about the factors, both numerically and in words.
00:48
Well, if we let gamma be the salinity, then the null hypothesis would be that their effects were all the same, all four of them.
01:04
And the alternative hypothesis would be that not all salinative levels have the same effect on response.
01:26
Second, with the temperature levels, there are three different levels, so the null hypothesis would be that they all have the same effect, tau 1, tau 2, and tau 3.
01:40
But the alternative hypothesis is that not all temperature levels have the same effect on the response.
02:04
Part b, are the conditions for a two -way nova met? well, let's go through the list...