Statistical tests Comparing mean

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Quantitative data- Parametric and. Non-Parametric Test. • If we cannot use the parametric test , we can use its equivalent non-parametric test. DR SAMI /IMU. 4 ...
Statistical tests Comparing mean Dr Sami Abdo Radman Al-dubai

DR SAMI /IMU

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To test a hypothesis we need to know : • Hypothesis • Research question(objective) • Type of variables (quantities , qualitative). • Dependent variable • Independent variable • If the data are Normally distributed (in case of quantitative data) Accordingly : we can decide on the statistical test. • At the end we can make the concussion DR SAMI /IMU

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Comparing mean

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Quantitative data- Parametric and Non-Parametric Test • If we cannot use the parametric test , we can use its equivalent non-parametric test

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• When the data has been checked and the normality assumption has been fulfilled, the appropriate parametric test can be applied. Otherwise, the equivalent non-parametric test will be used DR SAMI /IMU

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Two sample t-test (independentSamples T-Test) • Is there a difference in systolic blood pressure between overweight and normal weight. • Hypothesis ; There is difference between the systolic blood pressure between overweight and normal weight. • This test involves 2 independent groups (male , female) (binary variable) • Systolic blood pressure ( quantitative variable)

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Two sample t-test (independentSamples T-Test) Assumptions • Both groups are independent of each other (overweight and normal weight). • Systolic BP in both groups is normally distributed • Homogeneity of variance (independent-Samples T-Test) • In SPSS AnalyseCompare meanindependent-Samples T-Test DR SAMI /IMU

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the result of p value is read off from the Sig.(2-tailed) of the second line (Equal variance not assumed) DR SAMI /IMU

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Two sample t-test (independentSamples T-Test) • Mean systolic blood pressure in the overweight group =141.65 • Mean systolic blood pressure in the normal weight group= 97.12 • p< 0.001 Conclusion: There is significant difference in mean systolic blood pressure between overweight and normal weight (p< 0.001): DR SAMI /IMU

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ANOVA (ANALYSIS OF ONE WAY VARIANCE) • Analysis of variance is an extension of 2Sample T-test which involved more than 2 groups (eg1 race : Chinese, Malays, Indians) (Eg2 normal, under and over weight) The Null Hypothesis: All the groups’ means are equal • Command: Analyse-Compare Means-One-Way ANOVA (click options  descriptive) DR SAMI /IMU

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Conclusion Since pdescriptive-> explore-> plots-> normality plots with test. • In the results below: the p value is not sig (p= 0.200 and p= 0,388) i.e. p >0.05. This indicate the variable is normally distributed.

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Conclusion: • From the results above : p value = 0.52 (p>0.05). • There is no sig. difference in systolic blood pressure after and before intervention. In other words : the intervention we used did not reduce the blood pressure significantly.

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One Sample T-test • This test will determine whether the mean of a single variable (FROM A SINGLE SAMPLE) differs from a specified constant (FROM THE POPULATION). For example, to test whether the systolic pressure is abnormal in contrast to normal blood pressure of 120 mmHg (constant).

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ONE SAMPLE T-TEST • For example, we are interested to find out whether subjects with acute chest pain have abnormal systolic (normal = 120 mmHg) blood pressures. 500 subjects presenting themselves to an emergency physician were enrolled. • Assumptions : Systolic BP in both groups is normally distributed Command: Analyse-Compare Means- one Samples T-Test Hypothesis: subjects with acute chest pain have have higher blood pressure compared to the general population DR SAMI /IMU

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DR SAMI /IMU

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Conclusion -Mean blood pressure of study subjects =140.51 - P value = 0.000 (p