Measurement, Units & Significant Figures

systematic error

/ sis-tuh-MAT-ik EHR-ur /

Imagine a kitchen scale that always reads 5 grams too high, because nobody zeroed it. Every single thing you weigh comes out 5 grams heavy — not randomly, but in the same direction every time. That stubborn, one-sided offset is a systematic error: a flaw that pushes your results consistently away from the truth in a predictable way.

A systematic error is a constant or proportional bias that shifts measurements in one direction, so it does not average out no matter how many times you repeat the experiment. Its causes can be traced and named: an uncalibrated instrument, a reagent that is not as pure as the label claims, an analyst who always reads a meniscus from the wrong angle, or a method that loses a fixed fraction of the analyte. Because it has a cause, it can in principle be found and corrected.

Systematic error matters because it attacks accuracy directly — it is the reason a perfectly precise method can still be wrong — and it is sneaky precisely because repeating the measurement won't expose it. You catch it instead by checking against something independent: a certified reference material, a blank, a second method, or a recovery test. The honest caveat is that an undetected systematic error is one of the most dangerous problems in analysis, because the data look trustworthy.

A spectrophotometer whose blank was never zeroed adds the same small absorbance to every reading. The calibration curve still looks linear and the replicates agree beautifully, yet every reported concentration is biased high by the blank's amount.

A one-sided flaw that repetition can never reveal.

Systematic errors come in flavours: constant (a fixed offset, like a 5 g zero error) and proportional (a percentage, like always recovering 95% of the analyte). They are treated differently when corrected.

Also called
determinate error系统性误差可測誤差