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Assignment #6 - Statistical Research II | STAT 652, Assignments of Statistics

Texas A&M University (A&M)Statistics

Material Type: Assignment; Class: STAT IN RESEARCH II; Subject: STATISTICS; University: Texas A&M University; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 02/13/2009

koofers-user-eof
koofers-user-eof 🇺🇸

10 documents

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bg1
9.20 1) 22
:43
21
01
μμ
μμ
+
=
+
H 2102 :
μ
μ
=
H 4303 :
μ
μ
=
H
22
:43
21
1
μ
μ
μμ
α
+
≠
+
H 212 :
μ
μ
α
≠
H 433 :
μ
μ
α
H
81.227
)5.0()5.0(5.05.0
]2.385.06.295.01.285.02.265.0[5
2222
2
1=
−+−++
×−×−×+×
=SS
025.9
)5.0(5.0
]1.285.02.265.0[5
22
2
2=
−+
×−×
=SS
9.184
)5.0(5.0
]2.385.06.295.0[5
22
2
3=
−+
×−×
=SS
6.516)3.71.56.53.4()15( 2222 =+++×−=SSE
ANOVA
Sum Df Mean
Square
F Pr>F Decision
Between Group 421.7375 3 157.2 4.35
22
43
21
μ
μ
μμ
+
−
+ 227.8125 1 227.8 7.05 0.017 Reject 01
H
21
μ
μ
− 9.025 1 9.025 0.28 0.604 Not
reject 02
H
43
μ
μ
− 184.9 1 184.9 5.73 0.0000
Reject 03
H
Error 516.600 16 32.28
Total 1072.25 19
2) 22
:41
32
01
μμ
μμ
+
=
+
H 4102 :
μ
μ
=
H 3203 :
μ
μ
=
H
22
:41
32
1
μμ
μ
μ
α
+
≠
+
H 412 :
μ
μ
α
≠
H 323 :
μ
μ
α
≠
H
ANOVA
Sum Df Mean
Square
F Pr>F Decision
contrast
423.8010
1 423.8010
27.09
0.0001
Reject 01
H
carb vs sili
9.6605
1 9.6605
0.62
0.4371
Not
reject 02
H
magn vs hemi
75.6605
1 75.6605
4.84
0.0344
Reject 03
H
pf2

Partial preview of the text

Download Assignment #6 - Statistical Research II | STAT 652 and more Assignments Statistics in PDF only on Docsity!

1 2 3 4 01

μ μ μ + μ

H H (^) 02 : μ 1 = μ 2 H 03 : μ 3 = μ 4

1 2 3 4 1

μ μ μ μ α

H H (^) α 2 : μ 1 ≠ μ 2 H α 3 : μ 3 ≠ μ 4

  1. 81
  2. 5 0. 5 ( 0. 5 ) ( 0. 5 )

5 [ 0. 5 26. 2 0. 5 28. 1 0. 5 29. 6 0. 5 38. 2 ] 2 2 2 2

2

1 =

    • − + −

× + × − × − × SS =

  1. 025
  2. 5 ( 0. 5 )

5 [ 0. 5 26. 2 0. 5 28. 1 ] 2 2

2

2 =

  • −

× − × SS =

5 [ 0. 5 29. 6 0. 5 38. 2 ]

2 2

2

3 =

  • −

× − ×

SS =

2 2 2 2 SSE = − × + + + =

ANOVA

Sum Df Mean

Square

F Pr>F Decision

Between Group 421.7375 3 157.2 4.

μ 1 μ 2 μ 3 + μ 4 −

Reject H 01

9.025 1 9.025 0.28 0.604 Not

reject H 02

Reject H 03

Error 516.600 16 32.

Total 1072.25 19

2 3 1 4 01

μ μ μ + μ

H H (^) 02 : μ 1 = μ 4 H 03 : μ 2 = μ 3

2 3 1 4 1

α

H (^) H (^) α 2 : μ 1 ≠ μ 4 H α 3 : μ 2 ≠ μ 3

ANOVA

Sum Df Mean

Square

F Pr>F Decision

contrast 423.8010 1 423.8010 27.09 0.

Reject H 01

carb vs sili 9.6605 1 9.6605 0.62 0.4371 Not

reject H 02

magn vs hemi 75.6605 1 75.6605 4.84 0.

Reject H 03