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ERIC Number: ED170354
Record Type: RIE
Publication Date: N/A
Reference Count: 0
Missing Cells and a Curious Case of Degrees of Freedom.
Williams, John D.; Wali, Mohan K.
A solution is proposed for analysis of variance procedures with missing cells, such as may occur when a control group is not assigned to any of the rows or columns of the various experimental groups. Mathematical models for two-way design are presented which define several variables; as well as row effect, column effect, and row and column effects. Full rank models, also recommended for disproportional data, are also presented. Restricted models are used to test hypotheses; this is also illustrated after dropping a vector. Two examples are described in which this research design may have educational applications: (1) the experimenter has a two-way treatment classification procedure, but the true control group is administered neither of the treatment combinations; or (2) cultural bias may be accounted for when a test is more fair in particular geographic areas; distances from these areas are represented in diagrams. (Author/GDC)
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: N/A
Sponsor: Bureau of Mines (Dept. of Interior), Washington, DC.
Authoring Institution: North Dakota Univ., Grand Forks. Center for Teaching and Learning.
Identifiers: Incomplete Block Designs
Note: Paper presented at the Annual Meeting of the American Educational Research Association (63rd, San Francisco, California, April 8-12, 1979)