Suppose a survey was conducted with a lower sample size (less than 100) for factor analysis of the items (less than 20). Now would a larger sample size increase the inter-item correlation?
The sample size is usually recommended to follow response to item ratio between 10 and 20. This implies that the sample size should be a minimum of 200 or 400.
Regarding how the sample size influences the inter-item correlation, I think the collected sample is relatively small, making it more difficult to conclude with high confidence.
However, I can say that if the pilot study results showed a particular tendency either to be positively correlated or negatively, and if the measurement model faced minor issues for passing the validity and reliability tests, combined with respondents who answered with a proper understanding of the items. Therefore, the inter-term correlation should be confirmed and further supported.