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Sec 3 SMTP Research Module ADVANCED STATISTICS Mrs Goh Cheng Wai.

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Presentation on theme: "Sec 3 SMTP Research Module ADVANCED STATISTICS Mrs Goh Cheng Wai."— Presentation transcript:

1 Sec 3 SMTP Research Module ADVANCED STATISTICS Mrs Goh Cheng Wai

2 Relation of data A correlation tells us whether two variables vary together Correlation coefficient [X: independent variable, Y: dependent variable] +1 (perfect correlation) X , Y  - 1 (perfect negative correlation) X , Y  0 (no correlation between X and Y)

3 Correlation  Cause and effect Correlations can only be used to estimate the relationship between two characteristics. Do not use them to establish cause and effect. E.g. A high correlation between intelligence and exposure to classical music DOES NOT MEAN listening to classical music causes one to become intelligent.

4 ANOVA (Analysis of variance) How many sets of data can each t-test compare? What if you must compare the means of 3 or more groups? ANOVA tells you whether there is an overall difference among the groups. However, ANOVA cannot identify where the difference lies or which pair is responsible for the difference.

5 Standard deviation & standard error Standard deviation (SD) tells you how scattered the measurements are. Standard error of the mean (SE) indicates the uncertainty around the estimate of the mean.

6 Link between error bars and statistical significance Standard error bars do not overlap. Difference may be significant or insignificant. Standard error bars overlap. Difference is insignificant (p  0.05)

7 Hands-on session 3S1 and 3P3 (first seven in the list): Comp Lab 1 3S2 and 3O3: Comp Lab 2 3A3: Comp Lab 3 3I3 + 3P3 (next seven in the list): Comp Lab 4 Deadline to submit 1 st draft of proposal to mentor: Monday 11 April


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