21a_Treatments

# 21a_Treatments - Statistical Techniques II EXST7015 Treatment Arrangements 1 2 3 4 21a_Treatments 1 Treatment Arrangements Sometimes the treatment

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Statistical Techniques II EXST7015 Treatment Arrangements 4 1 2 3 21a_Treatments 1

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Treatment Arrangements Sometimes the treatment simply consists of a list of levels that the investigator is interested in examining. We will term this type of treatment arrangement " a priori " an treatment arrangement. These are often fixed treatment levels that the investigator wants to examine, but they may be random. 21a_Treatments 2
Tmt Arrangement (continued) There are several other possibilities. Cross classified ( factorial , two-way ANOVA) Like treatments with blocks, two treatments can be cross-classified. Nested treatment arrangement 21a_Treatments 3

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Tmt Arrangement (continued) A factorial arrangement of treatments occurs when we have two (or more) treatments of interest arranged such that each level of the first occurs with each level of the second. All possible combinations of the two treatments exist. 21a_Treatments 4
Tmt Arrangement (continued) Examples - Examine the effect of three dietary supplements (a, b & c) on weight gain for males and females. Each sex gets the same three diets (6 combinations) Examine the effectiveness of three pre-emergence herbicides and four post-emergence herbicides. All of the 12 combinations exist, each treatment may have a null treatment as a control. 21a_Treatments 5

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Tmt Arrangement (continued) The other type of treatment arrangement is the nested treatment arrangement. Nested treatment arrangements occur when each level of some treatment occurs in combination with some other treatment, but the levels of the second treatment are not the same for each level of the first treatment . 21a_Treatments 6
Tmt Arrangement (continued) Examples - Examine the effect of three dietary supplements on weight gain for males and females. Each sex gets three diets, but the diets are different for males (a, b & c) and females (d, e & f). Examine the effectiveness of four post-emergence herbicides on three different crops. The approved post emergence herbicides are not the same for the three crops. 21a_Treatments 7

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Tmt Arrangement (continued) Factorial A1 A2 A3 B1 a1b1 a2b1 a3b1 B2 a1b2 a2b2 a3b2 B3 a1b3 a2b3 a3b3 B4 a1b4 a2b4 a3b4 21a_Treatments 8
Tmt Arrangement (continued) Nested A1 A3 A2 A1B1 A1B2 A1B3 A2B4 A2B5 A2B6 A3B7 A3B9 A3B8 21a_Treatments 9

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Tmt Arrangement (continued) Nested treatment arrangements are not too common. They can occur. For example, if we wanted to test for differences in attendance at State Parks. We choose 4 parks in TX, 5 in LA and 3 in MS. There is no "match" for the parks between states. We could measure attendance on randomly chosen dates and our model would be MODEL Y = STATE PARK(STATE); 21a_Treatments 10
Tmt Arrangement (continued) Another example. Suppose we wanted to test for the effectiveness of various commonly used herbicide on major crops in LA by examining dollar value per acre.

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## This note was uploaded on 12/29/2011 for the course EXST 7087 taught by Professor Wang,j during the Fall '08 term at LSU.

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21a_Treatments - Statistical Techniques II EXST7015 Treatment Arrangements 1 2 3 4 21a_Treatments 1 Treatment Arrangements Sometimes the treatment

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