Statistics Project

The experiment would involve the three teachers training 40 students each in fall , and 30 students each in spring . In each class , random sample of twenty students (in fall ) and fifteen students (in spring will buy textbooks and the other half will pay a similar lab fee for animation labs over the web . At the end of the course , an exam will be given to the students . An evaluation exam will be given to the teachers to assess their performance in the previous semester . Now , we will test based on the test results

if students using animation software tend to have higher grades than those that buy books

The experimental design that will be used is Split-plot in Randomized Complete Block Design (RCBD . Let a be the students buying books or will pay lab fees over the net , so there are 2 factors . Let b be the students , there are forty and thirty in fall and in spring in each class , so there are forty factors . Let r be the teachers , there are three teachers so , there are three factors . Let a r be the number of homogenous plots ie students buying books in Ms . Green 's class , students paying over the net in Ms . Green 's class , students buying books in Mr White 's class , and so on

This is the plot for the experiment

Let

A buying books B paying over the net A B A B A B

students students students students students students

Ms . Green Mr . White Mr . Brown

note : students are randomly selected to attend a class ANOVA will be used to test the claim that animation software soft ware tend to better understand concepts involved in data structures courses such as sorting , searching and data organization . F-test will be the appropriate test . Blocks and levels of factor A and factor B can be fixed or random (Montgomery 2001 . This is the intended ANOVA table for the experiment

Source of Variation Degrees of Freedom Sum of Squares Mean Square F - computed

mainplot ar-1

Block (teacher ) r-1 RSS MSR MSR

A a-1 ASS MSA MSA /MSEa

Error (a ) a (r-1 ) EaSS MSEa

subplot ar (b-1

B b-1 BSS MSB MSB /MSEb

AB (a-1 (b-1 ) ABSS MSAB MSAB /MSEb

Error (b ) a (b-1 (r-1 ) EbSS MSEb

In analysis , test the interaction effect AB with Ho : there is no interaction effect and Ha : there is interaction effect . If the test proved not significant , test on the effects of the individual factors , A and B . their Ho states there is no difference between the mean test scores among different levels of A (B

Similar test is to determine the block effect or if the teachers are effective in teaching the course . This test is not included in the sequential test above

Alpha .1 since people are being studied

A problem that will be encountered is the students not participating in the experiment . Statistics laws are true that when observations approach infinity , the error will approach zero but the researcher...