I performed a specific experiment involving temperature vs time. I performed 8 experiments having 8 different data (time vs temperature), can I use pearson correlation coefficient to represent the behavior of the graph and then how can I compare each coefficients to see if it is significantly different from one another.
Dear Livey
Yes, you can do that. The correlation model the linear shift between two data sets. In fact, you can EXCEL sheet to do it.
Regards,
Gamal
The comparison between different correlation coefficients can be easily accomplished by the transformation of such coefficent into z-scores:
https://www.statisticssolutions.com/comparing-correlation-coefficients/
on the other hand, if you want to check if the linear relation between time and temperature varies in slope (i.e. the derivative of the time-temperature estimated function) you should shift to the comparison between regression coefficents that are related to Pearson r but convey a different aspect of the linear fit. In that case too you can adopt a simple t-test based comparison between regression coefficients:
https://stats.stackexchange.com/questions/93540/testing-equality-of-coefficients-from-two-different-regressions
Gamal Seedahmed Can i proceed with Pearson's correlation ? is time (1min,2,3,60minutes) a continous variable in my case?
- Livey Czar Aligno , In theory you can do it, but I am afraid that with samples of size 8 you will not have reliable or useful results.
Livey Czar Aligno I interpret this new information like this: you have an independent variable that is the experimental group (1, 2, ... 8), and for each group you have temp responses for fixed times (1, 2, ... 60) and you need compare the temp behaviors as a function of time for the 8 groups. I dare to think that it is a comparison problem of 8 regression models where the data of the dependent variable (temp) have been taken as repeated measures at the set times. A repeated measures (therefore correlated) design for 8 independent experimental groups.
Jorge Ortiz Pinilla yes that is the main idea of my research. Thank you, this is my first time to encounter and work on regression analysis, my knowledge is still very basic. Do u have any literature or works to recommend?
Livey Czar Aligno
For example,
https://statistics.laerd.com/spss-tutorials/two-way-repeated-measures-anova-using-spss-statistics.php
I don't understand what you have. Do you have 8 different sets of data, each comprising many pairs of time and temperature? Or do you have a single study with 8 pairs of data?
Further, Pearson's correlation measures a linear association. What models do you have that assume this for the type of data that you collected, or are you investigating the qualitative hypothesis that as one increases (or decreases) so does the other?
Also, you say these 8 are experiments, but you have not described the conditions. Are they experiments in the sense of randomly allocating cases into conditions? Or in some other sense?
Livey Czar Aligno ,
yes, you can. The way to do this is by transforming the correlation coefficient values, or r values, into z scores (Fisher’s r to z transformation).
Thierno Barry thank you, can i apply pearsons correlation ? My 2 variables would be temperature vs timr(1min,2min,3min..60min= 60 temperatures recorded per group)
Livey Czar Aligno yes, you can apply for the statistical relationship (between the two continuous variables).
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