Previous studies and analyses conducted up to now on the indicatory description of the acoustic quality of buildings concerned single value indices based on several selected acoustic parameters that are correlated with each other. Transformation of values, correlated into a new set of independent components for the purpose of their future synthesis, took place using the Singular Value Decomposition (SVD) technique. In this article, it is shown that SVD can also be applied to the determination of the single-value global acoustic quality index in the case where the decomposed index observation matrix contains partial indices that are not only correlated, but also uncorrelated. Alternatively, a statistical method used in econometrics, i.e. Comparative Multivariate Analysis (CMA), was adapted to obtain a single-value index from uncorrelated partial indices. Both proposed methods of synthesis have been verified using the example of a group of buildings - Roman Catholic churches.
Development of the index method for acoustic assessment of Roman Catholic churches is presented in the article. The current version of the global index was developed on the grounds of studies conducted in 8 churches and was based on 4 partial assessment indices: reverberation, music sound, speech intelligibility, and external disturbances. The use of sound strength as another partial index for global assessment is proposed in the article. A new formula of the global index for assessment of the acoustic quality of Roman Catholic churches is proposed. The computational procedure of the global index which uses analytical tools such as singular value decomposition (SVD) and comparative multivariate analysis (CMA) resulted from studies and analyses performed on an index observation matrix that was larger than before. Verification of index assessment was carried out for a sample of 12 Roman Catholic churches.
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