I have a data set of 60 sensors. I wish to decrease the number of sensors used during an experiment, and use the remaining sensor data to predict the removed sensors.
If I were to run principal component analysis on the full data set, would the features (sensors) that correlate with principal component 1 (PC1) recapitulate the rest of the data most strongly, thus highlighting sensors that have the worst correlation with PC1 as those that should be removed (and predicted by the remaining sensors)?