Factor 1 is amount of SmartChirp per day that a bird is given. Birds are given either 1, 5, or 9 gms per day for a month. Factor 2 is type of bird: Parakeet or Cockatoo. This produces a 3 x 2 design. There are n = 4 birds in each of the six groups. At the end of the study, all birds have their intelligence measured on the bird IQ (BIQ) test. Their scores are summarized in the table below. Note that lots of means, sums and sums of squared scores are provided, many of which will be helpful for calculating your answers. Amount of SmartChirp 5 gm 9 gm Xi112 Xi212 Xi312 Xij12 = 7,446 = 10,825 = 31,400 Parakeets T11 = 154 T21 = 195 T31 = 340 TR1 = 689 M11 = 38.50 M21 = 48.75 M31 = 85.00 Xi122 Xi222 Xi322 = 3,230 = 6,166 = 17,000 Xij22 Cockatoos T12 = 112 T22 = 156 T32 = 260 TR2 = 528 M12 = 28.00 M22 = 39.00 M32 = 65.00 Xi1j2 Xi2j2 Xi3j2 = 10,676 = 16,991 = 48,400 TC1 = 266 TC2 = 351 TC3 = 600 T = 1,217 Note that the following is true Xijk2 = 76,067 Tjk2 = 281,821 TCj2 = 553,957 TRk2 = 753,505 Tj12 Row 1: = 177,341 Tj22 Row 2: = 104,480 T1k2 Column 1: = 36,260 T2k2 Column 2: = 62,361 T3k2 Column 3: = 183,200 a) Perform a two-way ANOVA on these data; i.e., complete the ANOVA table below (including criterion F's). Use the space on the previous page for computing sums of squares. (15 points) ANOVA Source df SS MS Obt F Crit F Between Amount (A) Bird Type (B) AxB Within
Factor 1 is amount of SmartChirp per day that a bird is given. Birds are given either 1, 5, or 9 gms per day for a month. Factor 2 is type of bird: Parakeet or Cockatoo. This produces a 3 x 2 design. There are n = 4 birds in each of the six groups. At the end of the study, all birds have their intelligence measured on the bird IQ (BIQ) test. Their scores are summarized in the table below. Note that lots of means, sums and sums of squared scores are provided, many of which will be helpful for calculating your answers. Amount of SmartChirp 5 gm 9 gm Parakeets Xi112 = 7,446 T11 = 154 M11 = 38.50 Xi212 = 10,825 T21 = 195 M21 = 48.75 Xi312 = 31,400 T31 = 340 M31 = 85.00 Xij12 TR1 = 689 Cockatoos Xi122 = 3,230 T12 = 112 M12 = 28.00 Xi222 = 6,166 T22 = 156 M22 = 39.00 Xi322 = 17,000 T32 = 260 M32 = 65.00 Xij22 TR2 = 528 Xi1j2 = 10,676 TC1 = 266 Xi2j2 = 16,991 TC2 = 351 Xi3j2 = 48,400 TC3 = 600 T = 1,217 Note that the following is true Xijk2 = 76,067 Tjk2 = 281,821 TCj2 = 553,957 TRk2 = 753,505 Row 1: Tj12 = 177,341 Row 2: Tj22 = 104,480 Column 1: T1k2 = 36,260 Column 2: T2k2 = 62,361 Column 3: T3k2 = 183,200 a) Perform a two-way ANOVA on these data; i.e., complete the ANOVA table below (including criterion F's). Use the space on the previous page for computing sums of squares. (15 points) ANOVA Source df SS MS Obt F Crit F Between Amount (A) Bird Type (B) AxB Within
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