{"id":4532,"date":"2026-08-10T16:45:40","date_gmt":"2026-08-10T14:45:40","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&p=4532"},"modified":"2026-08-10T17:02:09","modified_gmt":"2026-08-10T15:02:09","slug":"linearity","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/linearite\/","title":{"rendered":"Linearity"},"content":{"rendered":"

An instrument may be accurate right in the middle of its range but inaccurate at the extremes. The linearity test measures several products with different actual values<\/strong>, distributed across the entire operating range, and examines how the error changes.<\/p>\n\n\n\n

Enter the\u00a0number of products<\/strong>, the number of\u00a0Values by Product<\/strong>, and for each product, its true value and its measurements.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The results consist of two figures, each with its own significance:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u21d2 The Slope<\/strong> : Does the error increase with the measured value? A significant slope indicates a lack of linearity\u2014the instrument is accurate here but inaccurate there.<\/p>\n\n\n\n

\u21d2 Accuracy<\/strong> : the mean error, which is independent of the value. It is a constant offset that can be corrected through calibration.<\/p>\n\n\n\n

Significance is determined according to the standard Ellistat scale:<\/p>\n\n\n\n

p-value<\/strong><\/td>Conclusion<\/strong><\/td><\/tr><\/thead>
p > 0.1<\/td>Not significant<\/td><\/tr>
0.05 < p \u2264 0.1<\/td>Significant limit<\/td><\/tr>
0.01 < p \u2264 0.05<\/td>Significant<\/td><\/tr>
p \u2264 0.01<\/td>Very significant<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The percentage of linearity<\/strong> is also related to the tolerance and total variation.<\/p>\n\n\n\n

\ud83d\udca1 A non-significant slope and significant accuracy represent the ideal scenario: a simple calibration is all that\u2019s needed. The opposite\u2014a significant slope\u2014requires either limiting the range of use or switching to a different method.<\/p>\n\n\n\n

A graph illustrates the previous results<\/p>\n\n\n\n

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