Biological Data Analysis: Homework 10

Due Tuesday, December 1



You must type this and all other homework assignments. Do not e-mail the assignment to me; turn it in early (at 322 Wolf) for a foreseeable absence, or turn it in late after an unexpected absence from class.

1. Write three exam questions, in the same style as on the study guides and the first three exams. The questions must describe an experiment, then ask "Which test should you use?" The answers to your first two questions are given below, next to your birthday; for example, if you were born on the 6th of a month, you must write one question whose answer is "exact binomial test" and one whose answer is "paired t-test." Your third question can have any of these answers. Be sure to include the answer to each question. If you're writing about your area of research, be sure to give enough detail that all of your classmates would understand the question.


Birthdate  Answers
      1   Logistic regression; Kruskal-Wallis test
      2   Kruskal-Wallis test; Chi-square test or G-test of goodness-of-fit
      3   Chi-square test or G-test of goodness-of-fit; One-way anova, model I
      4   One-way anova, model I; Linear regression/correlation
      5   Linear regression/correlation; Exact binomial test
      6   Exact binomial test; Paired t-test
      7   Paired t-test; Chi-square test or G-test of independence
      8   Chi-square test or G-test of independence; Spearman rank correlation
      9   Spearman rank correlation; Nested anova
     10   Nested anova; Linear regression/correlation
     11   Linear regression/correlation; Ancova
     12   Ancova; Paired t-test
     13   Paired t-test; One-way anova, model II
     14   One-way anova, model II; Kruskal-Wallis test
     15   Kruskal-Wallis test; Fisher's exact test
     16   Fisher's exact test; Two-way anova
     17   Two-way anova; Exact binomial test
     18   Exact binomial test; Nested anova
     19   Nested anova; Spearman rank correlation
     20   Spearman rank correlation; Ancova
     21   Ancova; Two-way anova
     22   Two-way anova; Wilcoxon signed-rank test
     23   Wilcoxon signed-rank test; Chi-square test or G-test of goodness-of-fit
     24   Chi-square test or G-test of goodness-of-fit; Logistic regression
     25   Logistic regression; One-way anova, model II
     26   One-way anova, model II; Fisher's exact test
     27   Fisher's exact test; Chi-square test or G-test of independence
     28   Chi-square test or G-test of independence; Wilcoxon signed-rank test
     29   Wilcoxon signed-rank test; Nested anova
     30   Nested anova; One-way anova, model I
     31   One-way anova, model I; Logistic regression


2. Arnbom et al. (1994) weighed female southern elephant seals, Mirounga leonina, and recorded the sex of their offspring. The table below shows the weight (rounded to the nearest 20 kg), the number of male pups of mothers in that weight class, and the number of female pups of mothers in that weight class. Perform a logistic regression using SAS or a spreadsheet (the spreadsheet for this is pretty clumsy--you'll probably want to use SAS instead), interpret the results, and graph the proportion of males vs. mother's weight.


weight  males  females
300       0       3
340       0       1
360       0       1
380       1       8
400       4       2
420       5       7
440       5       5
460       7       5
480       5       7
500       5       8
520       3       4
540       4       4
560       2       3
580       4       4
600       3       2
620       6       5
640       2       4
660       3       2
680       1       0
700       3       1
720       2       0
740       2       0
760       0       1
780       2       0
800       0       1
820       1       2
980       1       0


Reference

Arnbom, T., M.A. Fedak, and P. Rothery. Offspring sex ratio in relation to female size in southern elephant seals, Mirounga leonina. Behav. Ecol. Sociobiol. 35: 373-378.



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This page was last revised August 5, 2009. Its URL is http://udel.edu/~mcdonald/stathw10.html