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- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/10%3A_ANCOVA_Part_IIExtending ANCOVA to model quantitative predictors with higher-order polynomials, using orthogonal polynomial coding. Fitting a polynomial to express the impact of the quantitative predictor on the res...Extending ANCOVA to model quantitative predictors with higher-order polynomials, using orthogonal polynomial coding. Fitting a polynomial to express the impact of the quantitative predictor on the response is also called trend analysis and helps to evaluate the separate contributions of linear and nonlinear components of the polynomial.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/10%3A_ANCOVA_Part_II/10.01%3A_ANCOVA_with_Quantitative_Factor_LevelsOverview of ANCOVA with quantitative factor levels.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/01%3A_Overview_of_ANOVAOverview of analysis of variance (ANOVA) and experimental design concepts. The 7-step process for statistical hypothesis testing.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/00%3A_Front_Matter/02%3A_InfoPageThe LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the Californ...The LibreTexts libraries are Powered by MindTouch ® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/09%3A_ANCOVA_Part_IIntroduction to analysis of covariance (ANCOVA), using the classic case in which the ANOVA model is extended to include the linear effect of a continuous covariate.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/02%3A_ANOVA_Foundations/2.03%3A_Tukey_Test_for_Pairwise_Mean_ComparisonsUsing the Tukey test to identify and characterize to identify groups that differ from each other, if we reject the null hypothesis.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/05%3A_Multi-Factor_ANOVAIntroduction to multi-factor ANOVA, with a focus on treatment design. Using statistical software to analyze data from different treatment designs.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/11%3A_Introduction_to_Repeated_MeasuresIntroduction to repeated measures, in which time also acts as a potential covariate. Focus on the repeated-measures design in time, where repeat measurements are taken through time from the same exper...Introduction to repeated measures, in which time also acts as a potential covariate. Focus on the repeated-measures design in time, where repeat measurements are taken through time from the same experimental unit assigned to a specific treatment level. Covariance structures for model error.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/09%3A_ANCOVA_Part_I/9.06%3A_Chapter_9_SummaryWe noted that the fitted linear relationship between the response and the covariate results in a straight line for each factor level and the ANCOVA procedure then depends on the condition of equal slo...We noted that the fitted linear relationship between the response and the covariate results in a straight line for each factor level and the ANCOVA procedure then depends on the condition of equal slopes. One advantage of ANCOVA is the ability to examine the differences among the factor levels after adjusting for the impact of the covariate on the response. In the next chapter, the ANCOVA topic will be extended to include up to a cubic polynomial as the regression model of the response vs.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/08%3A_Randomization_Design_Part_IIIntroduction to split-plot designs, as applied to randomized complete block design and complete randomized design. Extension of the concept to split-split-plot designs.
- https://stats.libretexts.org/Bookshelves/Advanced_Statistics/Analysis_of_Variance_and_Design_of_Experiments/12%3A_Cross-over_Repeated_Measure_Designs/12.02%3A_Coding_for_Carry-Over_CovariatesWorking through a sample dataset to account for carry-over effects.
