In toda’s class, we discussed the analyssis of the ‘crab molt’ data.
- Crab molting is the action of the crab breaking ints outer skeleton or exoskeleton inorder to grow. Our objective was to try and predict the size of the crab before molting using the post molt size of the crabs.
- To begin with we plotted a linear model and found that the value of R^2 wa 0.98.
- The descriptive statistics of the post-molt data showed a skewness of -2.3469 and kurtosis of 13.116 and that of the pre molt data showed a skewness of -2.00349 and a kurtosis of 9.76632
- Looking at the graphs of the normal curve of both pre and post molt data, it appeared that they were similar with just a shift in mean.
- To check wheter this was true we conducted a T-test.
* T-test is a statistical test which is used to compare the mean values of two groups. To do this we create two hypothesis:
H0 = there being no significant difference
H1 = there being a significant difference - The T-test we conducted on the crab molt data indicated that out null hypotheses (H0) was false; there is a significant difference in the means of both pre-molt and post-molt data. We did this by carrying out ‘Monte-Carlo’ procedure to estimate the p-value for the difference of means which was observed