- What is the null and alternative hypotheses for the association between menopa

Question

- What is the null and alternative hypotheses for the association between menopausal transition group and HDL cholesterol.

- What type of statistical test would have been most appropriate to test the association between menopausal transition group and HDL cholesterol?
ANOVA, ttest, chi-square, or Pearson correlation?

- Interpret the results for the association between menopausal transition group and HDL cholesterol. On what information did you base your conclusion and what type of statistical test was used?

Table 1 Waist circumference, lipoprotein profile and insulin resistance markers in the four groups of women studied. Results are expressed as meant standard deviation Group ANOVA Variable PreM (n 29) MTM (n 35) MTA (n 29) PostM (n 31) p valine Age (years) 33 5.6 47 t 3.3 49 t 3.0 55 t 5.6 0.0001 Waist circumference (cm) 77.8 t 12 88.0 t 10.9" 90.6 t 10.2 88.1 t 10.8" 0.0002 1.19 t 0.59 1.28 t 0.71 1.42 t 0.50 0.0001 Triglycerides (mmoVI) 0.75 t 0.28 LDL cholesterol (mmoVI) 2.80 t 0.61 3.48 t 0.88 3.67 t 0.96" 4.00 t 1.14 0.002 HDL cholesterol (mmol/1) 1.47 t 0.28 1.41 t 0.33 1.54 t 0.42 1.48 t 0.34 0.49 Triglyceride/HDL cholesterol 0.53 0.27 0.97 t 0.67 0.96 t 0.77 1.03 t 0.52 0,007 4.8 t 0.4 4.9 t 0.4 5.2 t 0.7 0.04 Fasting glucose (mg/dl) 4.6 t 1.4 Fasting insulin (ulUMml 9.3 t 4.9 10.7 t 5.4 13.3 t 6-2 12.5 t 9.2 0.09 2.03 t 1.14 2.23 t 1.34 2.92 t 1.41 2.86 t 2.39 0.09 HOMA QUICKI 0.35 t 0.02 0.34 t 0.02 0.33 t 0.02 0.34 t 0.03 0.06 McAuley index 8.7 t 1.7 7.4 t 1.6 6.8 t 1.4 6.8 1.4 0.0001 Significantly different vs. PreM groups', significantly different vs. MTM group: ,significantly different vs. MTA group PreM, premenopausal women; MTM, women in the menopausal transition with irregular menstrual cycles; MTA, women in the menopausal transition with 3-6 months of amenorrhea: PostM, postmenopausal women: LDL, low density lipoprotein: HDL, high density lipoprotein: HOMA, Homeostasis Model Assessment; QUICKI, Quantitative Insulin Sensitivity Check Index

Explanation / Answer

The hypothesis can be

H0 : There is no difference in the HDL cholestrol values for the different menopausal groups

H1 : There is A SIGNIFCANT difference in the HDL cholestrol values for the different menopausal groups , ATLEAST FOR 2 GROUPS

This can be best explained using the anova analysis as we want to test a numerical value over different groups . Hence anova analysis shall help

The right most column talks about anova p values , hence a anova test was conducted , at a significane level of alpha = 0.05 , we can say that all values where the p value is less than 0.05 , the results are significant . Wherever the p values are greater than 0.05 , the difference in the values between the groups are not significant

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