ENFE 7027 HomeWork #2 DUE 07/18/22 Hypothesis testing While you can discuss the homework with other students, you must submit your work individually and it should reflect your own thinking and...

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Answered 1 days AfterJul 16, 2022

Answer To: ENFE 7027 HomeWork #2 DUE 07/18/22 Hypothesis testing While you can discuss the homework with other...

S answered on Jul 18 2022
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4.
a)
i. The research question of the study is to find out whether the patients who received spinal anesthesia have lower risk of 30-day readmission after knee arthroplasty compared to patients who received general/other anesthesia.
ii. Anesthesia received : Spinal Anesthesia or General/other Anesthesia
Lev
el of Measurement: Nominal
iii. Readmission days
Level of Measurement: Ratio
iv. Gender can be a confounding variable since the dosage of Anesthesia will be change according to Gender.
v. The null hypothesis can be stated as:
H0: Patients who received spinal anesthesia have the same risk of readmission compared to patients who received general/other anesthesia.
vi. The alternative hypothesis can be stated as:
H1: Patients who received spinal anesthesia have the lower risk of readmission compared to patients who received general/other anesthesia.
vii. The effect size of the study reported in terms of relative risk. RR = 0.65
The relative risk can be calculated using the formula,
    Predictor
    Outcome
    
    Yes
    No
    Yes
    A
    b
    No
    C
    d
b) Cohen’s d method can also be used to find the effect size of the study .It can be calculated by the difference in means of two populations divided with standard deviation of the data.
i.e.
where s is the standard deviation of either the group when the variances of two groups are equal. When the variances of the two groups are not equal the pooled standard deviation (s) can be found out as,
So, here the difference of mean readmission days in two groups of patients received spinal anesthesia and of patients received general/other anesthesia is divided by the standard deviation to find out the effect size.
c)
1) Cohen’s d
It can be calculated by the difference in means of two populations divided with standard deviation of the data. i.e.
where s is the standard deviation of either the group when the variances of two groups are equal. When the variances of the two groups are not equal the pooled standard deviation (s) can be found out as,
A value of ±0.2 represents a small effect, ±0.5 represents a medium effect, and ±0.8 represents a large effect for Cohen’s d.
2) Pearson’s coefficient (r)
It can be found out by using the equation,
where t is the test statistic and df is the degrees of freedom
The value varies between −1 and +1, and the effect size is small if the value varies around 0.1, medium if the value varies around 0.3, and large if the value varies around 0.5.
3) ω2
The Omega squared is a measure of effect size that can be used in ANOVAs. It is an estimate that measures how much variation in the response variables are accounted for by the explanatory variables.
d) Independent sample t test will be recommended in which the mean readmission days will be compared in the two groups of patients who received spinal anesthesia and patients who received general/other anesthesia.
e) A Type I error is a false positive conclusion, in which the null hypothesis will be rejected when it is true. While a Type II error is a false negative conclusion in which it is failed to reject the null hypothesis...
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