Chocolate Chip Cookie Tasting

Consider a taste$-$testing experiment about six types of chocolate chip cookies. The six types of cookies have the following features:

Type $1$: Brand A$,$ chewy texture, expensive

Type $2$: Brand A$,$ crispy texture, expensive

Type $3$: Brand B$,$ chewy texture, inexpensive

Type $4$: Brand B$,$ crispy texture, inexpensive

Type $5$: Brand C$,$ chewy texture, expensive

Type $6$: Brand D$,$ crispy texture, inexpensive

We will use a total of $120$ raters; assigning $20$ raters to each brand via a computerized lottery $($no replacement$).$

Using a vector ordering of $($T$1,$ T$2,$ T$3,$ T$4,$ T$5,$ T$6),$ answer the following questions:

A$.$ Create a contrast for Chewy vs$.$ Crispy:

B$.$ Create a contrast for Expensive vs$.$ Inexpensive:

C$.$ Are the two contrasts orthogona $$ Select an answer

D$.$ Explain your answer to Part C$.$

Yes

Edit $-$ Insert $-$ Formats $-$

$No$

$We$ can't know

N

P