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F. P. Treadwell's Analytical Chemistry Vol 1 PDF

By F. P. Treadwell

Excerpt from Analytical Chemistry, Vol. 1: Qualitative Analysis

The translator needs to precise his honest due to Professor Treadwell for his kindness and sturdy needs with reference to the education of this translation, to Professor A. A. Noyes, Professor Henry Fay, and Mr. H. S. Walker of the Massachusetts Institute of expertise, for his or her suggestion and' feedback of the evidence, and particularly to Dr. W. O. Holway of Newton Centre for his many helpful suggestions.

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0 vs. Ha: A2 * 0, A! * 0 in the model yu = V + Tf + ft + A! au yly. + A 2 a2i J2j + e// 3. If one fails to reject //02> conclude the appropriate model is the one given in (1), and complete the analysis accordingly. If one rejects //02, then test #03: A3 -0, A 2 ^ 0 , A! ^ 0 vs. Ha3: A3 ^ 0, A 2 ^ 0 , A ^ O in the model yfj = v + Tf + pj + A! an y{j + A 2 a2i 72j + A 3 a 3/ y3j + e/7 4. Continue in this manner until failing to reject a hypothesis. One disadvantage of the above procedure is similar to that encountered with a forward selection procedure in multiple regression problems.

F and j = 1,2, . ,*. L1) where k = rank (H) O = ("//) and 0>ij = flij ~ fli. J + /i.. /3,=0 2. |>:|A2|> • • • =>|A t 3. Z,-«n- = Z ^ y r > = 0 forr= 1 , 2 , . . , * 4. Z,o^. =Z,->§ = 1 f o r r = 1,2, . . , f c 5. Z ; "n-a/i = Z j JrjJ^ 42 = 0 fof T ^ T' = 1, 2, . . 1 Cell Mean Parameters with Two Cells Contributing to the Interaction. The Cells Are in Different Rows and Columns T{ T2 r3 T4 T5 B B B B 19 26 26 30 35 31 30 23 30 38 28 27 28 35 37 33 32 28 24 23 The 6ty's span the interaction space; that is, any contrast in the JLL//S which measures interaction can be written as a linear combination of the W//S.

8 A Type II Interaction Plot for Mandel's Model, Plotting ILij Against py. 6) '7 2/7 = ^ - y « . , + y.. When HQ is true, SS#0/cr2 has a sampling distribution which is chisquare with t - 1 degrees of freedom. Also, when H0 is true, SS#0 is distributed independently of SS#, and the sampling distribution of 21 22 CHAPTER 1 ANALYZING TWO-WAY TREATMENT STRUCTURES SSfl/o2 is chi-square with (b - l)(t - 1) - (f - 1) = (t - l)(b - 2) degrees of freedom. 1) SS/Jfr-l) F = SSRl(t-l)(b-2) has a sampling distribution, which is Fr_l<(/_1)(&_2).

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Analytical Chemistry Vol 1 by F. P. Treadwell

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