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In this chapter, we discuss the error analysis of experimental data that can take continuous values. The error is defined in Sect. 7.1. In Sections 7.2–7.9, we discuss the error when measured with an ideal measuring device, which is a hypothetical measuring device with a perfectly accurate scale and infinitely high resolution. The problem addressed here is the problem of estimating the values of the parameters from the sample values, arising from the fact that the number of measurements is finite. After that, we discuss the errors in experimental results obtained by direct measurement in Sections 7.10–7.12, and the errors in experimental results obtained by indirect measurement in Sections 7.13–7.15.

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Error Analysis of Experimental Data

  • 章节

  • 发表日期：

    2026年

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  • Takuma Endo

摘要

In this chapter, we discuss the error analysis of experimental data that can take continuous values. The error is defined in Sect. 7.1. In Sections 7.2–7.9, we discuss the error when measured with an ideal measuring device, which is a hypothetical measuring device with a perfectly accurate scale and infinitely high resolution. The problem addressed here is the problem of estimating the values of the parameters from the sample values, arising from the fact that the number of measurements is finite. After that, we discuss the errors in experimental results obtained by direct measurement in Sections 7.10–7.12, and the errors in experimental results obtained by indirect measurement in Sections 7.13–7.15.