Thirty words are flashed on a screen, one at a time, under various combinations of type style (A, B, and C) and exposure time (60 milliseconds and 120 milliseconds). Two randomly assigned participants are used in each cell (considerably more participants would be required for a practical study). The results, given below, are numbers of words correctly recognized.
(a) Compute and for each cell and display these values in a table.
(b) Proceed to obtain

(c) Compute the variance estimates; perform the three F tests at and and draw statistical conclusions. Display your results in a summary analysis of variance table.
(d) Construct a table showing cell and marginal means. Considering the F-test results, which means would be of interest? Why? Draw final conclusions concerning the treatment variables.

Question

Thirty words are flashed on a screen, one at a time, under various combinations of type style (A, B, and C) and exposure time (60 milliseconds and 120 milliseconds). Two randomly assigned participants are used in each cell (considerably more participants would be required for a practical study). The results, given below, are numbers of words correctly recognized. 
(a) Compute  and  for each cell and display these values in a table. 
(b) Proceed to obtain

(c) Compute the variance estimates; perform the three F tests at  and  and draw statistical conclusions. Display your results in a summary analysis of variance table. 
(d) Construct a table showing cell and marginal means. Considering the F-test results, which means would be of interest? Why? Draw final conclusions concerning the treatment variables.

Quizplus · Accepted Answer

The Answer is (a) Check cell sums
(a) Check cell sums to see that they add up to 120; similarly, row sums and column sums should total 120;

to see that they add up to 120; similarly, row sums and column sums should total 120;
(a) Check cell sums to see that they add up to 120; similarly, row sums and column sums should total 120;

Thirty Words Are Flashed on a Screen, One at a Time