arXiv Computation and Language By Marco Mandap

Statistical Foundations for a Google Play User-Review Sentiment Index: Signal Fusion, Shrinkage, Distributional Validation, and Dynamic Smoothing

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The paper presents a statistically rigorous sentiment index for Google Play user reviews, combining normalized star ratings and text-sentiment scores through covariance-aware inverse-variance weighting. It aggregates review-level estimates using bounded helpfulness and recency weights, then applies Gaussian-conjugate shrinkage toward a population mean based on estimated precision. The authors also provide distributional diagnostics for different API sort orders, avoid inappropriate Kolmogorov‑Smirnov tests for discrete data, and use a Kalman filter to smooth temporal trends, all supported by full mathematical proofs.

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