Music Preference 1 - Brent Hugh's personal and business web pages

Table 6
Music Preference 60
Latin-Square Experimental Design: Arrangement of Data from Experimental Design (Table 5)
for Analysis of Two Treatments
N ID
Subgroup 1
Cappriccio
1 st
Subgroup 2
Fantasy
2 nd
Subgroup 1
Funérailles
3 rd
Subgroup 2
Carnaval
4 th
Subgroup 1
Fantasy
2 nd
Subgroup 2
Funérailles
3 rd
Subgroup 1
Carnaval
4 th
Subgroup 2
Funérailles
3 rd
Note. Data collected according to the scheme diagrammed in Table 5 are rearranged for analysis
according to this table. N = no treatment; ID = introduction of music selections by discussion.
For each treatment as applied to each subgroup, the table shows subgroup (1, 2, 3, or 4),
repertoire selection (Cappriccio, Fantasy, Funérailles, or Carnaval), and order of repertoire
selection in the program for that subgroup (1 st , 2 nd , 3 rd , or 4 th ).
In this experimental design, confounding variables (subgroups, repertoire, order of presentation)
are present in equal amounts in both the N and the ID columns. Any differences due to these
confounding factors will then cancel out because they are equally present in both columns. The
remaining difference between the N and the ID columns is then attributable solely to the N and
the ID treatments.