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Application of analysis of variance and post hoc comparisons to studying the discriminative power of sound parameters in distinguishing between musical instruments

机译:方差分析和事后比较在研究区分乐器的声音参数的判别力中的应用

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摘要

In this paper, the influence of the selected sound features on distinguishing between musical instruments is presented. The features were chosen basing on our previous research. Coherent groups of features were created on the basis of significant features, according to the parameterization method applied, in order to constitute small, homogenous groups. In this research, we investigate (for each feature group separately) if there exist significant differences between means of these features for the studied instruments. We apply analysis of variance along with post hoc comparisons in the form of homogeneous groups, defined by mean values of the investigated features for our instruments. If a statistically significant difference is found, then the homogenous group is established. Such a group may consist of only one instrument (distinguished by this feature), or more (instruments similar with respect to this feature). The results show which instruments can be best discerned by which features.
机译:本文介绍了所选声音特征对乐器区分的影响。这些功能是根据我们先前的研究选择的。根据所应用的参数化方法,在重要特征的基础上创建了相关的特征组,以构成小的同质组。在这项研究中,我们调查(分别针对每个功能组)所研究仪器的这些功能均值之间是否存在显着差异。我们以均质组的形式应用方差分析和事后比较,均质组由我们工具的研究特征的平均值定义。如果发现统计学上的显着差异,则建立同质组。这样的组可以仅由一个仪器(由该功能区分)或更多(与该功能相似的仪器)组成。结果表明,哪些功能可以最好地识别哪些仪器。

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