{'fraction_non_alphanumeric': 0.013812154696132596, 'fraction_numerical': 0.0, 'mean_word_length': 5.092436974789916, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Cell Means Model for Balanced Factorial Designs with Nested Mixed Factors

This article presents a mathematical model to analyze balanced factorial designs with nested mixed factors, in which levels of random factors are nested under the levels of fixed factors. The proposed model uses the mixed general linear model and the cell means model, which is clearer on the hypothesis considered for the fixed factors. In this way, the benefits that are individually obtained by each of them are potentiating. Likewise, the development of estimators of the parameters associated to the fixed and random factors of the model is presented. Finally, an application is provided for an experiment conducted within the industrial field.