Geodesic
Tests for the Scale Parameter of the Truncated Normal
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 225-236

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This paper continues the work begun in [l] and examines the loss of power when using tests based on the assumption that the variable being sampled has a “complete” normal distribution, when in fact, sampling is from a symmetrically truncated distribution. The hypothesis consideredhere is the one - sided test for the variance of a normaldistribution. Some tables have been computed and they showthat appreciable losses in size occur. Some loss occurs in the power too, but this decreases with the alternativevalueof the variance and the degree of truncation. 
Guttman, Irwin. Tests for the Scale Parameter of the Truncated Normal. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 225-236. doi: 10.4153/CMB-1960-028-8
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     title = {Tests for the {Scale} {Parameter} of the {Truncated} {Normal}},
     journal = {Canadian mathematical bulletin},
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     year = {1960},
     volume = {3},
     number = {3},
     doi = {10.4153/CMB-1960-028-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1960-028-8/}
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