24. People with an autoimmune disease like lupus produce antibodies that react to their own tissues. Research has shown that lupus-prone strains of mice have B cells with redudd expression levels of the receptor gene SYRIIB, suggesting that low expression of this gene might contribute to the autoimmune reaction. To test this, McGaha et al. (2005) experimentally enhanced expression of the FcyRIIB gene in bone marrow taken from a lupus-prone mouse strain and transplanted it back into irradiated mice of the same strain. Other mice of the same strain were subjected to the same procedures but received bone marrow that was not enhanced for FcyRIIB expression (i.e., the sham treatment). Mice in a third group were left untreated. Auto- immune reactivity was measured six months later. The following is a frequency table indi- cating the highest dilution of blood serum, in a fixed series of dilutions, at which reactivity could be detected (a high dilution reflects a high autoimmune reactivity).

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Chapter1: Starting With Matlab
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b. What distinct purposes do the sham-
treated and untreated groups serve in this
experiment?
c. Calculate the mean and standard deviation of
dilution measurements in each group.
d. We would like to test whether the mean
dilutions of the three groups are different.
Based on your answers to parts (a) and (c),
why should we be cautious about employing
ANOVA?
e. Choose a transformation that overcomes
the main difficulty in part (d). Display your
resulting sample means and standard
deviations.
f. Using the transformed data, test whether
there is a difference among treatment groups
in the mean of dilution measurements.
g. What method would we use next to help
decide which group means differed from the
others?
Transcribed Image Text:b. What distinct purposes do the sham- treated and untreated groups serve in this experiment? c. Calculate the mean and standard deviation of dilution measurements in each group. d. We would like to test whether the mean dilutions of the three groups are different. Based on your answers to parts (a) and (c), why should we be cautious about employing ANOVA? e. Choose a transformation that overcomes the main difficulty in part (d). Display your resulting sample means and standard deviations. f. Using the transformed data, test whether there is a difference among treatment groups in the mean of dilution measurements. g. What method would we use next to help decide which group means differed from the others?
24. People with an autoimmune disease like lupus
produce antibodies that react to their own
tissues. Research has shown that lupus-prone
strains of mice have B cells with redudd
expression levels of the receptor gene SYRIIB,
suggesting that low expression of this gene
might contribute to the autoimmune reaction. To
test this, McGaha et al. (2005) experimentally
enhanced expression of the FcyRIIB gene in
bone marrow taken from a lupus-prone mouse
strain and transplanted it back into irradiated
mice of the same strain. Other mice of the same
strain were subjected to the same procedures but
received bone marrow that was not enhanced for
FcyRIIB expression (i.e., the sham treatment).
Mice in a third group were left untreated. Auto-
immune reactivity was measured six months
later. The following is a frequency table indi-
cating the highest dilution of blood serum, in
a fixed series of dilutions, at which reactivity
could be detected (a high dilution reflects a high
autoimmune reactivity).
Dilution
measured
100
200
400
800
Total
Number of mice
Sham-
Enhanced treated
0
34209
SNEOO
0
3
2
5
Untreated
a. Is this a balanced design? Explain.
55246
0
0
Transcribed Image Text:24. People with an autoimmune disease like lupus produce antibodies that react to their own tissues. Research has shown that lupus-prone strains of mice have B cells with redudd expression levels of the receptor gene SYRIIB, suggesting that low expression of this gene might contribute to the autoimmune reaction. To test this, McGaha et al. (2005) experimentally enhanced expression of the FcyRIIB gene in bone marrow taken from a lupus-prone mouse strain and transplanted it back into irradiated mice of the same strain. Other mice of the same strain were subjected to the same procedures but received bone marrow that was not enhanced for FcyRIIB expression (i.e., the sham treatment). Mice in a third group were left untreated. Auto- immune reactivity was measured six months later. The following is a frequency table indi- cating the highest dilution of blood serum, in a fixed series of dilutions, at which reactivity could be detected (a high dilution reflects a high autoimmune reactivity). Dilution measured 100 200 400 800 Total Number of mice Sham- Enhanced treated 0 34209 SNEOO 0 3 2 5 Untreated a. Is this a balanced design? Explain. 55246 0 0
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