1. Zebrafish Research
Data Analysis Choices

2. Data Analysis
Statistical Analysis Dealing With Population Frequency and Proportions (Percentages)
Two-proportion z-test – comparison of two population proportions (percentages)
Calculator -
Example

3. Data Analysis
Statistical Analysis Dealing With Population Frequency and Proportions (Percentages)
Comparison of multiple population proportions (percentages) – a two-step process
Step 1: Contingency tables, chi-square approach - Use Chi-Square (χ2) analysis of contingency tables to compare the numbers of individuals of two or more groups that fall into two or more different categories.
See 7.3 Chi-square Analysis of Contingency Tables for more information.
This step will tell you if there are significant differences among the various population proportions but not between specific pairs of proportions
Chi-square contingency tables calculator

4. Data Analysis
Statistical Analysis Dealing With Population Frequency and Proportions (Percentages)
Comparison of multiple population proportions (percentages) – a two-step process
Step 2: Marascuilo's post hoc analysis following the chi-square test
The Marascuilo procedure allows for the simultaneous testing the differences between all pairs of proportions when there are several populations under investigation (more than two).
Marascuilo's Post Hoc Analysis calculator

5. Data Analysis Standard error of the mean
The Standard Error is the term used in statistics to refer to an estimate of that standard deviation, derived from a particular sample used to compute the estimate. Represented as ±SEM
Every statistic has a standard error associated with it. A measure of the accuracy of the statistic can be derived that the standard error of 0 represents that the statistic has no random error and the bigger represents less accurate of the statistics.
SEM calculator
calculator.htm

6. Data Analysis How to place error bars on figures using Excel Tutorial

7. Data Analysis Statement
Writing a data analysis section for material and methods analyzing population proportions/percentages:
Data were analyzed for significant differences either by a z-test for two population proportions or for multiple proportions using a chi-square contingency table test followed by a Marascuilo's post hoc analysis.