Predictive / AI-Driven Analytics

Forecast Accuracy Metrics: MAPE, RMSE, MASE

Pick and interpret accuracy metrics that fit the demand pattern and business risk. See if you can navigate scale effects, zeros, seasonality, and cost asymmetry.

RMSE differs from MAE primarily because RMSE ______.

Squares errors and penalizes large misses more heavily

Is scale-free across series

Ignores large errors entirely

Can never exceed the standard deviation

Squaring amplifies big residuals, making RMSE sensitive to outliers. RMSE is scale-dependent and can exceed dispersion measures..

A common limitation of MAPE in retail demand forecasting is that it ______.

Requires log-transformed data

Becomes unstable or undefined when actuals approach zero

Is measured in the same units as the series

Penalizes over- and under-forecasting equally

MAPE divides by actuals; near-zero denominators inflate error. It is percentage-based, not unit-based..

MASE makes errors comparable across series because it ______.

Uses the maximum observed value as a divisor

Normalizes by the mean of predictions

Scales by the in-sample naive forecast error

Divides by sample size only

MASE normalizes by a simple benchmark’s MAE, enabling scale-free comparison. It is not normalized by maxima or means..

For strongly seasonal weekly data, an appropriate MASE baseline uses ______.

A linear trend with no seasonality

Random walk with drift

A moving average with window 3 only

A seasonal naive forecast with a 52-week lag

Seasonal MASE uses the seasonal naive benchmark matching the period. Nonseasonal baselines can mis-scale the error..

Compared to RMSE, MAPE is often preferred by business users because it ______.

Expresses error as a percentage that’s easy to interpret across price points

Is unaffected by zeros in the data

Is always more statistically efficient

Guarantees symmetry between over- and under-forecasting

Percent errors communicate magnitude intuitively, though MAPE has drawbacks around zeros and asymmetry. .

sMAPE differs from MAPE by dividing by ______.

The geometric mean of actuals

The average of absolute actuals and forecasts

The maximum actual value

The standard deviation of the residuals

sMAPE uses a symmetric denominator to reduce sensitivity when actuals are near zero. It’s an alternative to MAPE in sparse series..

When selecting a single-number score for model selection across different SKUs with different scales, a good choice is ______.

Mean RMSE across series

Maximum sMAPE across series

Median MASE across series

Sum of MAE across series

MASE is scale-free; using the median is robust to outliers across items. Scale-dependent metrics are not directly comparable..

Weighted MAPE (wMAPE) helps when SKUs vary in volume because it ______.

Uses squared residuals like RMSE

Penalizes over-forecasting only

Removes the need for seasonality modeling

Weights errors by actual quantities or revenue

Weighting by volume emphasizes high-impact items. It does not replace modeling of seasonal patterns..

If the cost of stockouts is much higher than overstock, the best metric choice is one that ______.

Reflects asymmetrical costs, such as a custom weighted loss

Always uses MAE because it is robust

Defaults to MAPE for interpretability

Uses RMSE because it squares errors

Custom cost-weighted losses align selection with business risk. Standard symmetric metrics may misrank models..

Before computing MAPE for intermittent demand, a common practice is to ______.

Switch to classification metrics

Aggregate or smooth to reduce zeros or use alternative metrics like sMAPE/MASE

Drop high-demand periods only

Replace zeros with ones universally

Aggregation or alternative metrics mitigates division-by-zero and volatility. Arbitrary replacements or switching task types is not sound..

Starter

Beginner level—review when percentage metrics break and why scale-free scores help.

Solid

Good read on pros and cons—start aligning metrics with item volume and risk.

Expert!

Expert: your metric choices match data quirks and business costs across portfolios.

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