Statistical analysis of sound absorption by audience

Geetha, K. V. ; Ramakrishna, B. S. (1967) Statistical analysis of sound absorption by audience Journal of the Acoustical Society of America, 42 (5). pp. 1170-1171. ISSN 0001-4966

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It is proposed that the sound absorption coefficients of acoustic materials, in general, be considered as random variables since their values depend upon the sound fields in which they are measured. This viewpoint is particularly appropriate for audience absorption since clothing, seating, etc. vary randomly. On this assumption, it is possible to decide between the classical hypothesis that the audience absorption is proportional to their number and Beranek's hypothesis that audience absorption is proportional to the occupied area, by analyzing the variance. A two-way classification of the total absorption of a number of halls is made with seating density and seating area as the row and column variables, respectively. The absorption of the hall in the ith row and jth column is written as aij=μ+ri+cj +∈ij, where μ is the mean of all entries, and ri and cj are the row and column effects, respectively. The ∈ij's represent contributions from other sources and interactions. Tests for the hypotheses ri=0 and cj=0 indicate that audience absorption varies significantly with seating area but not with seating density, supporting Beranek's hypothesis.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:39759
Deposited On:16 May 2011 06:07
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