Single Factor ANOVA with Blocks.The Forest Service conducted an experiment on the growth rate of eight provenances (trees growing at a particular place of origin) of Gmelina arborea (the treatments) were compared with respect to the girth at breast-height (gbh) of the trees attained since 6 years of planting (the Response Variable).Since planting location could be a factor in growth, they used three blocks as plot locations that represented different soils and gradients.

The JMP Output is listed below for a One-Way ANOVAwithout the Block.

Oneway Anova Summary of Fit Rsquare* 0. 629 Adj Rsquare 0. 460 Root Mean Square Error 3.968 Mean of Response* 29.573 Observations ( or Sum Wats ) 24.000Analysis of Variance Source OF Sum of Squares Mean Square FRatio Prob = F Treatment 426.45493 60. 9221 3. 8686 0.01 19* Error 16 251. 96400 15. 7478 C. Total 23 678. 41893 Means for Oneway Anova Level Number Mean Sted Error Lower 95%6 Upper 95%6} TI 34. 6533 2.2911 29.796 39.510 TZ 31. 53.33 2.2911 26.676 36.390 T.B 3 32.5100 2.2911\\ 27.653 37. 367 TA 31. 9200 2.2911 27.063 36.77 7 T5 22. 1167 2.2911 17 . 260 26.974 TO 3 29.9033 2.2911 25. 046 34. 760 T ? {` 23. 1567 2.2911 18. 300 28. 014 TO 30. 7933 2.2911\\ 25. 936 35.650 Std Error uses a pooled estimate of error variance