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This is illustrated in figure 3. On the left you see a cloud of data points: some EBV resemble the true breeding value, but some estimates are also way off the true breeding value. The correlation between the EBV and TBV in this figure is 0.76, the EBV not resembles the TBV for all animals. For example, there are two animals with an EBV of 4, whereas their true breeding values are different: 3 and 5. In real life we cannot produce a graph like in this figure because we do not know the true breeding value. But what we can do is estimate the accuracy of the estimated breeding value: the correlation between the phenotypic information and the true breeding value. So how much is the EBV in line with the true breeding value.

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Thus:

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The accuracy of the breeding value estimation represents the correlation between the EBV and the true genetic superiority, and has value between 0 (inaccurate) and 1 (100% accurate).

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