PHD SEMINAR- HIMANSHU JADHAV public health denitistry.pptx

pranavjadhav532 36 views 30 slides Mar 11, 2025
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About This Presentation

Creating a detailed 3000-word description on public health dentistry, biostatistics, and tests of significance is a substantial task. Let me provide a comprehensive overview of the topic, breaking it into key sections for clarity and depth.

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### Introduction to Public Health Dentistry
Public he...


Slide Content

MAHATMA GANDHI MISSION'S DENTAL C OLL E G E AND HOSPITAL DEPARTMENT OF PUBLIC HEALTH DENTISTRY TOPIC : BIOSTATISTICS TESTS OF SIGNIFICANCE Presented by: HIMANSHU JADHAV ROLL NO. 26

CONTENTS: Introduction to tests of significance Procedure of tests of significance Parametric tests Non Para-metric tests Applications of tests of significance in public health dentistry

TEST S O F SI GN I F I CAN C E A statistical procedure by which one can conclude if the observed result from the sample is due to chance or not . When different samples are drawn from the same population the estimate s might differ . This difference in the estimate s is called sampling variability. Hence , while dealing with estimates from one or more samples one is interested to know whether the difference in the values of estimate s between the groups are due to sampling variations or not. Test s of significan c e deals with techniques to know how far the differences between the estimate s of different samples is due to sampling variations .

PROCEDURE OF TESTS OF SIGNIFICANCE Start with the hypothesis that Null hypothesis is true. The null hypothesis (H ) is a statement that says “There is no effect” or “No difference” in a study. Null hypothesis assumes that whatever we are testing has no real impact and that any observed results are just due to chance. If the Null hypothesis is true, then what is the probability or likelihood of getting a result as extreme as found in the study due to chance alone?

Rejecting a N ull hypothesis when it is true . D enoted as α . Also called as the level of significan c e. The probability of type 1 error should be less than 5 % that i s less than 0.05 . Confidence levels are denoted by 1- α . TYPE 1 ERROR

TYPE 2 ERROR Accepting a Null hypothesis when it is false. Denoted as β . The probability of type 2 error should be 10%-20%.

POWER Probability of rejecting a N ull hypothesis when it is false. Denoted as 1- β Since β is usually kept at 10%- 20%, power is 80%- 90%

Standard error of mean- Gives the standard deviation of means of several samples from the same population. Standard error (S.E.) of mean= S.D/√n B)Standard error of proportion- Here the focus is on proportions where p and q are the proportion of occurrence of an event in two groups of the sample and n is the sample size. Standard error (S.E.) of proportion= √ pq /n C)Standard error of difference between two means –It is used to find out whether the difference between the means of two groups is significant to indicate that the samples represent two different universes. Standard error between means= √ σ 1 2 /n 1 + σ 2 2 /n 2 D)Standard error of difference between two proportions- it is used to find out whether the difference between the proportions of two group is significant or has occurred by chance. Standard error between proportions= √ p 1 q 1 /n 1 + p 2 q 2 /n 2 S.D.=standard deviation n= sample size p and q= proportion and occurrence of event in two groups of the sample

TEST OF SIGNIFICANCE FOR DIFFERENT SITUATIONS These are two types of tests: Parametric tests : These tests are applied when data is normally distributed. Non parametric tests : These tests are applied when data is not normally distributed.

Example 1) Height : N ormally typical bell shaped curve . Example 2) Obesity among teen girls. Squid distribution

Example s of Parametric test [Quantitative] 1) T test : P aired t test U npaired t test 2 ) Analysis of variance (ANOVA) Example s of N on Parametric test [Qualitative] Chi square test Mc Nemar test Fishers exact test

Parametric tests : 1) t - test : Criteria for applying t test , T he sample must be randomly selected . T he data must be quantitative . T he variables is assumed to follow a normal distribution in the population . S ample should be less than 30 .

It is a special case of one sample t test . It is used in the context of paired samples, in studies comparing difference in outcomes before and after an intervention . This test is used when the measurements on one entity is related to measurement of other i .e . when observations are dependent . When outcomes are continuous in nature , the means are compared using paired t test eg . Improvement in oral hygiene : ( 1 group of 40 year old people) Baseline data ( before chlorhex i dine mouth wa sh ) Final data ( after chlorhex i dine mouth wash) Paired samples t - test

Unpaired sample t - test Unpaired one sample t test This test is used when we would like to compare the mean of a particular population ( μ ) t o a hypothesized value ( μ o ). When sample siz e i s small , t test is used to test the hypothesis . This test was designed by W.S Gossett, whose pen name was student hence this test is also called student's t tests. It is applied to find the significance of difference between two populations eg. Improvement in oral hygiene With chlorhex i dine mouth wash vs with sodium fl u oride mouth wash 40 yrs group A 40 yrs group B

Independent samples t test When comparison of two independent gro ups on a continuous outcome is required, we make use of independent samples t – test. This is to test whether on an average , one group is significantly different from the other . It is usually used in case control studies .

A na lysi s O F VAR I A N C E ( A NO VA ) When comparisons of more than two independent groups on a continuous outcome is required, we make use of the ANOVA This is to test whether the mean of the outcome variables in different groups are the same. Many situations involve collecting data on three or more groups of individuals , w ith the objective of determining whether any true difference in mean performance exist among conditions under the study . ANOVA is a way to test the equality of means of more than two groups. ANOVA is extension of t test for multiple groups.

Eg. of ANOVA. 1)within group Waiting period of patient and his patience level By the end of 10 min. 30 min. 60min. 2 hours. Within group comparison

(2)Different mouth washes. C hlorhexdin e sodium fluoride silver fl u oride biotene oral rinse mouthwash In between comparison

Repeated measures ANOVA It is extension of paired t- test but with more than 2 groups Features of Repeated measure s ANOVA, 1) It will tel l us whether there is a change in outcome variable over time With treatment ( M ain effect for time ) 2)It will compare two or more treatment groups in terms of outcome variable (Main effect for group) 3)I t will tell us whether the rate of change in outcome variable is DIFFERENT for two or more treatment groups ( Interaction effect )

Non pa r a m e tr i c t e s t s : The Chi square tests for qualitative data ( χ 2 Test) When the data is measured in terms of attributes or qualities, and it is intended to T es t whether the difference in the distribution of attributes in different groups is due to sampling variation or not, the C hi square test is applied. It is used to test the significance of difference be tw een two proportions and can be used when there are more than two groups to be compared

Steps ; 1) Test the n ull hypothesis 2) T hen chi square statistic is calculated 3) F ollowed by applying The chi square test 4) F inding the degree of freedom 5) P robability tables

1) W hich among following is N on Parametric test? 1)Z test 2)Chi Square test 3) t test 4) ANOVA Multiple Choice Questions

2 ) Correct criteria for t test 1)T he data must be quantitative 2)S ample should be less than 30. 3)T he sample must be randomly selected 4) All of the above

3) What is the primary purpose of ANOVA? To compare means of two groups To test the variance within a single group To compare means of three or more groups To test the correlation between two variables

4) The null hypothesis states that: There is no difference between groups There is significant difference between groups The study is biased The sample size is too small

Previous Year Questions What is the tests of significance in biostatistics? Define null hypothesis. Differentiate between Type 1 and Type 2 errors. Describe parametric and nonparametric tests. What is Chi-square test used for? What is the difference between paired t-test and unpaired t-test. What is ANOVA and when is it used ?

REFERENCES ESSENTIALS OF PUBLIC HEALTH DENTISTRY 6 TH EDITION SOBEN PETER PARKS TEXTBOOK OF PREVENTIVE AND SOCIAL MEDICINE 26 TH EDITION K.PARK JOURNAL OF INDIAN ASSOCIATION OF PUBLIC HEALTH DENTISTRY NATIONAL HEALTH MISSION (NHM) – INDIA WORLD HEALTH ORGANIZATION (WHO)

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