# Interaction between Perceived Autonomy Support and Sports Engagement of Athletes: A Cross Lag Regression Analysis

## TL;DR

This study shows that athletes' sense of autonomy and their sports engagement influence each other over time, with autonomy support being a stronger predictor.

## Contribution

The study reveals a reciprocal and dynamic relationship between perceived autonomy support and sports engagement in athletes.

## Key findings

- Both perceived autonomy support and sports engagement decreased linearly over three time periods.
- Perceived autonomy support predicted future sports engagement, and engagement predicted later autonomy support.
- Perceived autonomy support was a more stable predictor of sports engagement than vice versa.

## Abstract

To examine the relationship between perceived autonomy support and sports engagement among athletes, this study conducted a 6-month follow-up with 79 provincial team athletes, assessed over three time periods. The results were analyzed using latent variable growth models and cross-lagged regression analysis. The findings indicated that: (1) both perceived autonomy support and sports engagement exhibited a linear decline across the three measurement periods; (2) perceived autonomy support significantly predicted subsequent sports engagement, and sports engagement, in turn, significantly predicted later perceived autonomy support. However, in terms of stability, perceived autonomy support was a more consistent predictor of sports engagement. In summary, these findings reveal the dynamic interaction between athletes' perceived autonomy support and sports engagement, highlighting the crucial role of coaches' autonomy support in shaping athletes' engagement, as well as the reciprocal influence of athletes' engagement on the coaching style.