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I am new to statistics, can someone guide me regarding the test I should use to compare the foot dimensions of 9 subjects to footwear dimensions (we have 2 footwear brands). So, to simplify, I have data of normalised ratio foot width wrt footlength (and other dimensions also) of 9 subjects which needs to be compared to normalised foot width wrt foot length of shoe X(only 1 value not 9).

To make it easier, I simply mean..I have 9 rows for each foot dimension (27 dimensions in all) Same 27 values for each footwear. 1st comparison will be FW vs FW_P and next will be FW vs FW_E (not shown here). then Same thing for all other 26 dimensions. But, the problem is only 1 row in Fw_P, therefore it is not a distribution

If I use SPSS to check normality, Foot width of subjects shapiro wilk test p value> 0.05. I cannot use paired t-test to compare the 2 ratios as the shoe ratio is just 1 value and not a distribution. What should I do? Should I use non parametric test...Wilcoxan Signed rank (duplicating the shoe ratios to 9 times) OR should I use 1 sample T test considering data to be parametric based.

I am attaching an image for reference. enter image description here Please help. Your suggestions and guidance will be much appreciated

Thanks in advance.

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  • $\begingroup$ Can you clearly state what your desired test is: For example the $H0: mean(FW) =mean(Fw_P)$ or is it something else. Also for the pair T test, if distribution of the differences is normal then one meets the requirement for the test. $\endgroup$
    – Dave2e
    Commented Aug 11, 2022 at 0:03
  • $\begingroup$ Let's check it's clear what data you have: (a) 9 subjects, each with their own normalized foot measurement, and (b) 2 brands, also with one normalized foot measurement per brand. So 9 numbers for the subjects and 2 numbers for the brands? $\endgroup$
    – dipetkov
    Commented Aug 11, 2022 at 8:47
  • $\begingroup$ I have 9 rows for each foot dimension (27 dimensions in all) Same 27 values for each footwear. 1st comparison will be FW vs FW_P and next will be FW vs FW_E (not shown here). then Same thing for all other 26 dimensions. But, the problem is only 1 row in Fw_P, therefore it is not a distribution. Which test can I use? Parametric/ Non-paramteric. And if wilcoxan sign rank...should I copy the value of fw_p 9 times like I did in the image attached above? $\endgroup$
    – user365200
    Commented Aug 11, 2022 at 15:50

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