I have collected 84 responses through survey. However, I am not sure what analytical tools will be better to use. Any suggestions (step by step, if possible) for Quantitative data analysis would be of help.
84 "samples" is a good number. I propose you to divide the dataset in two (64/20). Try to select representative samples in the two datasets. Develop a PLS calibration model with the 64 samples. Often we use cross-validation for this calibration. The 20 left out samples are finally used for prediction in order to estimate accuracy. If you need help, don't hesitate to contact me.
84 "samples" is a good number. I propose you to divide the dataset in two (64/20). Try to select representative samples in the two datasets. Develop a PLS calibration model with the 64 samples. Often we use cross-validation for this calibration. The 20 left out samples are finally used for prediction in order to estimate accuracy. If you need help, don't hesitate to contact me.
PLS is considered better suited for explaining complex relationships. "PLS comes to the fore in larger models, when the importance shifts from individual variables and parameters to packages of variables and aggregate parameters."
Sample size can be smaller, with a strong rule of thumb suggesting that it be equal to the larger of the following:
(1) ten times the scale with the largest number of formative (i.e., causal) indicators (note that scales for constructs designated with reflective indicators can be ignored), or
(2) ten times the largest number of structural paths directed at a particular construct in the structural model. A weak rule of thumb, similar to the heuristic for multiple regressions would be to use a multiplier of five instead of ten for the preceding formulae. Second order factors can be approximated using various procedures. One of the easiest to implement is the approach of repeated indicators known as the hierarchical component model. In essence, a second order factor is directly measured by observed variables for all the first order factors. While this approach repeats the number of manifest variables used, the model can be estimated by the standard PLS algorithm. This procedure works best with equal numbers of indicators for each construct.
How big is your population? Even if you have 84 samples if your population is too big, the representation issue has to be answered. If it is represented the it is OK. In average using SEM-PLS, you need between 80 - 150 samples.