Experimental Design and Data Analysis

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Flashcards covering key vocabulary from a lecture on experimental design, ANOVA, and scientific paper writing.

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20 Terms

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Pairwise Comparisons

A method to analyze interactions between variables, like witchweed and fertilizer, often visualized with interaction plots.

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Interaction Plot

A visual representation of how different variables interact, used to guide recommendations in experiments (e.g., fertilizer or weed control).

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Tukey's Test

A post-hoc test used to further analyze significant interactions identified in ANOVA.

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Family Wise Error Rate

The probability of making at least one Type I error (false positive) when performing multiple hypothesis tests.

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Factorial Designs

Experimental designs that allow researchers to address multiple research questions at once and understand potential interaction mechanisms.

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Main Effect

The effect of one independent variable on a dependent variable, ignoring all other independent variables.

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Interaction

When the effect of one independent variable on a dependent variable depends on the level of another independent variable.

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ANOVA Table

A table summarizing the results of an ANOVA test, including F-statistics, p-values, and degrees of freedom.

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Model Assumptions for ANOVA

Assumptions that must be met for ANOVA results to be valid, including normality of residuals and equal variance.

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Residuals vs Fitted Plot

A diagnostic plot used to check the assumption of equal variance in ANOVA models.

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QQ Plot

A diagnostic plot used to check the assumption of normality of residuals in ANOVA models.

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Log Transformation

A common data transformation used to address issues of non-normality or unequal variance, especially with count data.

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Square Root Transformation

A harsher data transformation that can be used to address issues of non-normality or unequal variance.

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Arcsine Transformation

A data transformation specifically for proportion data (percentages).

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Type One Errors

errors that occur when a researcher rejects a null hypothesis that is actually true.

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Kruskal-Wallis Test

A non-parametric test used as an alternative to one-way ANOVA when the assumptions of ANOVA are not met.

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Metadata

Data that describes other data, providing information about variables, measurements, and experimental procedures.

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R Markdown

A simple markdown format for creating dynamic documents with embedded R code

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Quattro

A dynamic document format for statistical reporting

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Scientific Paper Structure

A standardized formula for scientific writing, including introduction, methods, results, and discussion.