The design of experiments was used in this paper in order to determine the significance of particular factors for the parameters that indicate the quality of measurement results obtained by means of a coordinate measuring machine (CMM). Special emphasis was placed on the interaction of temperature and other factors. In accordance with the design of experiments, the diameter and roundness of a ring gauge were measured at the reference temperature and at the temperature of 26 °C. The ISO 15530-3:2011 standard for the assessment of measurement uncertainty of CMM measurements distinguishes systematic error from measurement uncertainty. Thus, separate analyses were done on how temperature, in the first place, but also workpiece position on the CMM table, coordinate system, stylus tip diameter, sampling size and interaction of temperature with other factors affect systematic error and measurement uncertainty. The experimental results showed an increase in systematic error at the higher temperature when the diameter was measured, whereas with roundness, systematic error was even smaller at the higher temperature. As for measurement uncertainty, measurements made at the higher temperature have a significantly greater uncertainty when the diameter is measured, unlike with roundness, where the effect of temperature is almost negligible.

本文使用实验设计来确定特定因素对于参数的重要性，这些参数指示通过坐标测量机（CMM）获得的测量结果的质量。特别强调了温度和其他因素的相互作用。根据实验设计，在参考温度和26°C的温度下测量环规的直径和圆度。评估CMM测量不确定度的ISO 15530-3：2011标准将系统误差与测量不确定度区分开来。因此，首先对温度进行了单独的分析，还分析了三坐标测量机工作台上的工件位置，坐标系，测针尖端直径，样本大小以及温度与其他因素的相互作用会影响系统误差和测量不确定度。实验结果表明，当测量直径时，在较高温度下系统误差增加，而随着圆度的变化，在较高温度下系统误差甚至更小。至于测量不确定度，在测量直径时，在较高温度下进行的测量具有明显更大的不确定度，与圆度不同，在圆度下，温度的影响几乎可以忽略不计。