Species F Score = [ Choose ] %3D Species p-value = [Choose ] Species Decision = [ Choose ] Sexes F Score = [ Choose ] Sexes p-value = %3D [ Choose ) Sexes Decision = [ Choose ] Interaction F Score = [Choose] Interaction p-value [Choose ] Interaction Decision [ Choose ) Is there an interaction between species and sex? Choose > >

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Exercise 12.1**

This exercise involves a study on amino acids in the hemolymph of millipedes. For a sample of four males and four females of each of three species, the concentrations of the amino acid alanine (me/100 ml) were determined as follows:

|         | Species 1 | Species 2 | Species 3 |
|---------|-----------|-----------|-----------|
| Male    | 21.5      | 14.3      | 20.1      |
|         | 19.6      | 17.6      | 20.5      |
|         | 20.9      | 15.0      | 18.5      |
|         | 22.8      | 17.8      | 19.3      |
| Female  | 14.8      | 12.1      | 14.4      |
|         | 15.6      | 11.4      | 14.7      |
|         | 13.5      | 12.7      | 13.8      |
|         | 16.4      | 14.5      | 12.0      |

(a) **Hypothesis Testing**: Test the hypothesis that there is no difference in mean hemolymph alanine concentration among the three species.

(b) **Gender Comparison**: Test the hypothesis that there is no difference between males and females in mean hemolymph alanine concentration.

(c) **Interaction Testing**: Test the hypothesis that there is no interaction between sex and species in the mean concentration of alanine in hemolymph.

(d) **Graph Preparation**: Prepare a graph of the row, column, and cell means, as done in Figure 12.1, and interpret in terms of the results of the above hypothesis tests.

(e) **Tukey Test**: If the null hypothesis of part a is rejected, then perform a Tukey test to assess the mean differences among the species.

**Note**: The statistical technique used in this exercise is attributed to R. A. Fisher, with references to Fisher (1932) and Yates (1964).
Transcribed Image Text:**Exercise 12.1** This exercise involves a study on amino acids in the hemolymph of millipedes. For a sample of four males and four females of each of three species, the concentrations of the amino acid alanine (me/100 ml) were determined as follows: | | Species 1 | Species 2 | Species 3 | |---------|-----------|-----------|-----------| | Male | 21.5 | 14.3 | 20.1 | | | 19.6 | 17.6 | 20.5 | | | 20.9 | 15.0 | 18.5 | | | 22.8 | 17.8 | 19.3 | | Female | 14.8 | 12.1 | 14.4 | | | 15.6 | 11.4 | 14.7 | | | 13.5 | 12.7 | 13.8 | | | 16.4 | 14.5 | 12.0 | (a) **Hypothesis Testing**: Test the hypothesis that there is no difference in mean hemolymph alanine concentration among the three species. (b) **Gender Comparison**: Test the hypothesis that there is no difference between males and females in mean hemolymph alanine concentration. (c) **Interaction Testing**: Test the hypothesis that there is no interaction between sex and species in the mean concentration of alanine in hemolymph. (d) **Graph Preparation**: Prepare a graph of the row, column, and cell means, as done in Figure 12.1, and interpret in terms of the results of the above hypothesis tests. (e) **Tukey Test**: If the null hypothesis of part a is rejected, then perform a Tukey test to assess the mean differences among the species. **Note**: The statistical technique used in this exercise is attributed to R. A. Fisher, with references to Fisher (1932) and Yates (1964).
**Statistical Analysis Input Form**

- **Species F Score:** [Choose]
- **Species p-value:** [Choose]
- **Species Decision:** [Choose]

- **Sexes F Score:** [Choose]
- **Sexes p-value:** [Choose]
- **Sexes Decision:** [Choose]

- **Interaction F Score:** [Choose]
- **Interaction p-value:** [Choose]
- **Interaction Decision:** [Choose]

- **Is there an interaction between species and sex?** [Choose]

This form allows users to input data related to statistical analysis, specifically focusing on the analysis of variance components such as species and sex, and their interactions. Users select the appropriate scores and decisions from dropdown menus to facilitate decision-making based on statistical tests.
Transcribed Image Text:**Statistical Analysis Input Form** - **Species F Score:** [Choose] - **Species p-value:** [Choose] - **Species Decision:** [Choose] - **Sexes F Score:** [Choose] - **Sexes p-value:** [Choose] - **Sexes Decision:** [Choose] - **Interaction F Score:** [Choose] - **Interaction p-value:** [Choose] - **Interaction Decision:** [Choose] - **Is there an interaction between species and sex?** [Choose] This form allows users to input data related to statistical analysis, specifically focusing on the analysis of variance components such as species and sex, and their interactions. Users select the appropriate scores and decisions from dropdown menus to facilitate decision-making based on statistical tests.
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