Repeated Measurement Experiments By Dr Wuttigrai Boonkum Department
Repeated Measurement Experiments By Dr. Wuttigrai Boonkum Department of Animal Science, Faculty of Agriculture, KKU
Introduction Input Observation Input 1 st MY, 2 nd MY… BW, WW, YW Input Observation ADG, NBA, BF, LEA Input Observation Egg. Prod. , FCR, FI Single measurement Input 1 st week ADG, 2 nd week ADG… Input 1 st MM eggprod. , 2 nd MM egg… Repeat measurements
Repeated Measurements คออะไร ?
The kind of repeated measurement • Repeated measurements in CRD • Repeated measurements in RCBD • Repeated measurements in LSD • Double Repeated measurements
Layout Repeated measurements in CRD Week 1 T 1 R 3 Week 2 T 1 R 3 T 1 R 1 T 1 R 2 T 2 R 3 T 2 R 1 T 2 R 2 T 3 R 3 T 3 R 1 T 3 R 2 Week 4 T 1 R 3 T 1 R 1 T 1 R 2 T 2 R 3 T 2 R 1 T 2 R 2 T 3 R 3 T 3 R 1 T 3 R 2 Week 5 T 1 R 3 T 1 R 1 T 1 R 2 T 2 R 3 T 2 R 1 T 2 R 2 T 3 R 3 T 3 R 1 T 3 R 2
Layout Repeated measurements in RCBD Week 1 Week 2 T 1 T 2 T 3 Week 4 Week 5
Layout Repeated measurements in LSD Period 3 Period 2 Period 1 Week 1 T 1 A 1 Week 2 T 2 A 2 T 3 A 3 T 1 A 2 T 2 A 3 T 3 A 1 T 1 A 3 T 2 A 1 T 3 A 2 Week 3 Week 4 Week 5
Layout Double Repeated measurements Week 1 6. 00 a. m. 10. 00 a. m. T 1 T 2 T 3 14. 00 p. m. 18. 00 p. m. 22. 00 p. m.
Layout Double Repeated measurements Week 2 6. 00 a. m. 10. 00 a. m. T 1 T 2 T 3 14. 00 p. m. 18. 00 p. m. 22. 00 p. m.
ANOVA Repeated measurements in CRD SOV df Main Repeated measurements in RCBD Treatment trt-1 Error(a) r(t-1) SOV df Main Sub Time x Treatment Error(b) Time-1 (trt-1)(time-1) Block b-1 Treatment t-1 Error(a) b(t-1) Sub ���� Time x Treatment Error(b) Time-1 (t-1)(time-1) ����
ANOVA Repeated measurements in LSD SOV df Main Row r-1 Column c-1 Treatment t-1 Error(a) (t-1)*(t-2) Sub Time x Treatment Error(b) Time-1 (t-1)(time-1) ����
ANOVA Double Repeated measurements SOV df Main A Error(a) a-1 a(r-1) Sub B b-1 Ax. B (a-1)(b-1) Error(b) a(r-1)(b-1) Sub-Sub C c-1 Ax. C (a-1)(c-1) Bx. C (b-1)(c-1) Ax. Bx. C Error(c) (a-1)(b-1)(c-1) ����
Step by Step of analysis Repeated measurements Mauchly Repeated data P-value > Chi Autocorrelation or correlated error test (spherecity) *, ** Multivariate )Interaction Time*Trt) Univariate )Interaction Time*Trt) Orthogonal Transformation** ns Split-plot in time (ns) Wilk’s lambda** Pillai’s trace Hotelling-Lowley trace Roy’s greatest roots Greenhouse-Geisser G-G** Split-plot in time (sig) P-value Huynh-Feldt H-F Adjust P-value Epsilon 0 1
Check auto correlation Upper number = correlation, lower number = p - value
Back
linear Mean = Time(linear); Trt = Time*Trt(linear) Back
Split-plot in time
- Slides: 25