Selecting the Appropriate Inferential Test: For each of the following: a) where applicable, identify the independent and dependent variables; b) write the null and the alternative hypotheses; c) find the critical value(s) and make sure to note whether the test is one- or two-tailed; d) state what type of test to perform (e.g., one sample z, paired samples t test, One Way ANOVA, etc.) Assume alpha = .05 for each problem. 1) A study is conducted to determine how the stimulant drug Adderall impacts the ability to sustain attentional vigilance. Twenty-two college students perform a computerized test of attentional vigilance two times; one test is performed immediately after taking Adderall and the other test is performed without the drug treatment. Tests 1 and 2 are carried out one week apart. The researchers will test the hypothesis that Adderall improves vigilance.
Selecting the Appropriate Inferential Test: For each of the following: a) where applicable, identify the independent and dependent variables; b) write the null and the alternative hypotheses; c) find the critical value(s) and make sure to note whether the test is one- or two-tailed; d) state what type of test to perform (e.g., one sample z, paired samples t test, One Way ANOVA, etc.) Assume alpha = .05 for each problem. 1) A study is conducted to determine how the stimulant drug Adderall impacts the ability to sustain attentional vigilance. Twenty-two college students perform a computerized test of attentional vigilance two times; one test is performed immediately after taking Adderall and the other test is performed without the drug treatment. Tests 1 and 2 are carried out one week apart. The researchers will test the hypothesis that Adderall improves vigilance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Selecting the Appropriate Inferential Test:
For each of the following: a) where applicable, identify the independent and dependent variables;
b) write the null and the alternative hypotheses; c) find the critical value(s) and make sure to note whether the
test is one- or two-tailed; d) state what type of test to perform (e.g., one sample z, paired samples t test, One
Way ANOVA, etc.) Assume alpha = .05 for each problem.
1) A study is conducted to determine how the stimulant drug Adderall impacts the ability to sustain attentional
vigilance. Twenty-two college students perform a computerized test of attentional vigilance two times; one test
is performed immediately after taking Adderall and the other test is performed without the drug treatment. Tests
1 and 2 are carried out one week apart. The researchers will test the hypothesis that Adderall improves vigilance.
Transcribed Image Text:n(Ɛ D²)– (E D)²
п -1
n = number of pairs of scores (for example, if 8 people are measured at tl and t2, df = 8-1 = 7)
D = the difference between each pair of scores
ED = the sum of the differences
(ED²) = the sum of the squares of the differences
(ED)²= the sum of the differences squared
t score: Independent Samples t-test (degrees of freedom = (n1 – 1) + (n2 – 1))
п, — 1
-1
= mean of first group (sample)
X2= mean of second group (sample)
s1 = sample variance of first group
s?2 = sample variance of second group
n1 = number of subjects (or observations) in the first group
n2
= number of subjects in second group
Be careful about computing the denominator; pay attention to whether you are working with sample variances or standard
deviations to make sure your computations are correct.
One Way ANOVA (see ANOVA table for degrees of freedom)
Between Groups Sum of Squares: Subtract the grand mean from each group mean, square the deviation,
multiply by n in each group and add the values together.
SSsΣη (X.-
(X,
n = the number of subjects or observations in a group
X, = the mean for any group (1 through n) of subjects
X g = the overall, or grand, mean for all subjects or observations
Within Groups Sum of Squares: Subtract each group's mean from the individual scores and add them all up.
SSWΣΣ (X- Χ.
X = any single score within any particular group
X,= the mean of any particular group
nG = number of groups
N= total # of subjects/observations
df
MS
F
Treatment
F =
MS3 =
Ss, / dfg
SS.
dfg =
ng-1
(Between= B)
MS /MSw
Error (Within= W) SSw
dfw =
N -ng
MSw=
SSw/ dfw
Total
SSTotal =
SSg + SSw
dfrotal=
N -1 =
df,+ dfw
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