My data for fungicide treated replication shows higher RMSE and R-square but less CV compared to the untreated replication for a regression between vegetation indices and yield. How correct is it? Both the replications had 49 genotypes of wheat.
Dear Rahul Raman As I understand, CV expresses standard error as the percentage of mean. Higher is the CV, larger is the experimental error and, lower is the reliability of experiment. It (CV) may vary from experiment to experiment.
Rahul Raman , I understand you have 2 experiments each with the same 49 genotypes. CV gives the variation in the observations taken for a trait. usually for a field experiment we consider 20 as the higher limit which CV should not exceed. If it does, we consider it as vitiated. Error MSS could also be high due to the treatment imposed which could also reflect its interaction with the genotypes as well as the environment, all together showing up as phenotype which you have measured. You will need to adopt higher designs to explore such causes. Hope this helps, howsoever little.
it depends on the point of view. univariate or bivariate. CV is a coefficient of SD(Standard deviation). SD is positively correlated with RMSE. Taken Mean as a coefficient, CV is positively correlated with RMSE. But, since RMSE is independent of the mean and increasing the mean causes falling the CV, this relation does not hold for every case.
Dear Rahul Raman As I understand, CV expresses standard error as the percentage of mean. Higher is the CV, larger is the experimental error and, lower is the reliability of experiment. It (CV) may vary from experiment to experiment.