Update app.py

app.py

@@ -812,6 +812,7 @@ if page_selection == "Market Efficiency":
         "This page evaluates market efficiency through statistical tests. "
         "The top panel displays price and moving averages with shading to indicate intervals flagged by the Runs and ADF tests. "
         "The middle panel shows the rolling Runs test p-values, while the bottom panel presents the rolling ADF test p-values."
+        "Red shading indicates periods where the Runs test flags non-random returns. orange shading highlights intervals where the ADF test indicate stationarity."
         "For further details on the methodology, please see [this article](https://entreprenerdly.com/the-market-isnt-always-random-spot-it-with-return-direction-tests/)."
         
     )
@@ -853,6 +854,7 @@ else:  # "Mean vs Momentum"
     st.subheader("Mean-reversion vs Momentum.")
     st.write(
         "This tool identifies momentum and mean reversion zones by calculating variance ratios and rolling autocorrelation. Variance ratios compare the variability of aggregated returns with daily returns, while rolling autocorrelation measures short-term return dependencies."
+        "Shading marks intervals where variance ratio p-values fall below 0.05 to pinpoint statistically significant zones of momentum or mean reversion."
         "For further details on the methodology, please see [this article](https://entreprenerdly.com/momentum-or-reversion-detecting-predictability-zones/)."
     )