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Dr. Carolin Elizabeth George
Test Of Significance Dr. Carolin Elizabeth George Test of significance
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Learning objectives At the end of the session, you will be able to
Know different types of statistical test Will be able to decide which test to be applied to a given set of data Will be able to report association Concept of correlation Test of significance
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Eg:weight of the babies
Recap Number Character, Any Number Eg:weight of the babies Describing type Eg: gender Counts No. of babies died Order Pain scale Test of significance
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Look at the RQ Is tobacco chewing associated with oral cancer? How do I go about it? How do you design a study? How do you find the answer? Test of significance
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NTP- Null hypothesis, test, pvalue
How do we go about it 1. State null hypothesis H0= Smoking and lung cancer are not associated 2. Apply a TOS 3. Look at the p value. If the p is greater than 5%, then accept the null hypothesis If p is less than 5%, reject the null hypothesis NTP- Null hypothesis, test, pvalue Test of significance
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How do you decide which TOS?
Test of significance
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How to decide a TOS Parametric or Non parametric tests?
Association or correlation? Test of significance
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Parametric Vs Non parametric
Look for normality of data Histogram and look for normal bell curve Test of significance
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Another rule of thumb if the SD is more than half of the mean, then it is not normally distributed Normal data: Parametric Skewed data: Non parametric data Test of significance
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Association and correlation
Test of significance
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Association and correlation
Concept Is relationship between two continuous numerical variables Example Is smoking associated with lung cancer? one increases other decreases (weight & hours of exercise) Tests Chi square, Student t test, paired t test, ANOVA Pearson’s Test of significance
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How to choose test for association
Test of significance
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Dependant and independent variable Consider the RQ: Is smoking associated with lung cancer?
Test of significance
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Look at the dependant variable/ Outcome variable
Type of data Numerical data How many groups? 3 or more ANOVA 2 groups 2 separate groups Student t test 1 group Before and after Paired t test Category Chi-square test Test of significance
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Test will generate a p value
What does that mean? Test of significance
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What is the test actually doing?
Zone of acceptance Zone of rejection Test of significance
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My data Test of significance
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Reporting TOS in papers /inference
Smoking and Lung cancer Proportion of smokers is higher in patients with lung cancer(55%) when compared to normal people(21%) and it is statistically significant (p<5%). Smoking is associated with Lung cancer (p<5%). Test of significance
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Lets apply RQ:Is smoking associated with lung cancer Null hypothesis
Test? Test of significance
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Lets apply RQ: Is birthweight associated with neonatal death?
Hypothesis Test Test of significance
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Lets apply RQ: Drug A or Drug Bod Drug C is better in patients with HTN? Hypothesis Test Test of significance
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Lets apply RQ: will health education improve the knowledge of diabetes? Hypothesis Test Test of significance
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Numerical data RQ: Is birthweight associated with neonatal death?
Mean birthweight of babies who died is significantly lower as compared to babies who survived (1.45kg Vs 2.9kg,p<5%) RQ: will health education improve the knowledge of diabetes? Mean knowledge score was higher intervention was higher/MKS improved significantly after intervention and this was statistically significant Test of significance
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Another scenario Smoking, age, alcohol, blue shirt : Lung cancer
Smoking Lung cancer Age Lung Cancer Alcohol Lung Cancer Blue shirt Lung cancer Concept of independent association: Solving by Regression Test of significance
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Non parametric tests If the data is not normally distributed, we will use a non parametric counterpart Test of significance
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Test of significance
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Errors Truth is No association : You say association : (Type 1)
Blue shirt is associated with cancer Truth is Association : You say No association (Type 2) Smoking is not associated with lung cancer When can these happen? Test of significance
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Correlation Concept : association between two continuous numerical variables one increases other decreases (weight & hours of exercise) One increases other increases (weight & BMI) Test : Pearson's correlation(r) Test of significance
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Test of significance
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Test of significance
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Recap Types of data Algorithm for test Independent association
Correlation Test of significance
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Test of significance
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