Publication Information

{'id': 'https://openalex.org/W2071425441', 'doi': 'https://doi.org/10.1080/03610928908830015', 'title': "Multivariate generalization of t'- statistic based on the mean square successive difference", 'display_name': "Multivariate generalization of t'- statistic based on the mean square successive difference", 'publication_year': 1989, 'publication_date': '1989-01-01', 'ids': {'openalex': 'https://openalex.org/W2071425441', 'doi': 'https://doi.org/10.1080/03610928908830015', 'mag': '2071425441'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/03610928908830015', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S128350725', 'display_name': 'Communication in Statistics- Theory and Methods', 'issn_l': '0361-0926', 'issn': ['0361-0926', '1532-415X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5087855410', 'display_name': 'C. G. Khatri', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I130769515', 'display_name': 'Pennsylvania State University', 'ror': 'https://ror.org/04p491231', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I130769515']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'C. G. Khatri', 'raw_affiliation_strings': ['Center for Multivariate Analysis Department of Statistics , The Pennsylvania State University , 110 Pond Lab University Park, PA 16802'], 'affiliations': [{'raw_affiliation_string': 'Center for Multivariate Analysis Department of Statistics , The Pennsylvania State University , 110 Pond Lab University Park, PA 16802', 'institution_ids': ['https://openalex.org/I130769515']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5087855410'], 'corresponding_institution_ids': ['https://openalex.org/I130769515'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.501033, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 73}, 'biblio': {'volume': '18', 'issue': '5', 'first_page': '1983', 'last_page': '1992'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11871', 'display_name': 'Advanced Statistical Methods and Models', 'score': 0.9528, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11871', 'display_name': 'Advanced Statistical Methods and Models', 'score': 0.9528, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11798', 'display_name': 'Optimal Experimental Design Methods', 'score': 0.9155, 'subfield': {'id': 'https://openalex.org/subfields/1803', 'display_name': 'Management Science and Operations Research'}, 'field': {'id': 'https://openalex.org/fields/18', 'display_name': 'Decision Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/statistic', 'display_name': 'Statistic', 'score': 0.78695834}, {'id': 'https://openalex.org/keywords/chi-square-test', 'display_name': 'Chi-square test', 'score': 0.7083113}, {'id': 'https://openalex.org/keywords/press-statistic', 'display_name': 'PRESS statistic', 'score': 0.6529607}, {'id': 'https://openalex.org/keywords/square', 'display_name': 'Square (algebra)', 'score': 0.46524513}], 'concepts': [{'id': 'https://openalex.org/C89128539', 'wikidata': 'https://www.wikidata.org/wiki/Q1949963', 'display_name': 'Statistic', 'level': 2, 'score': 0.78695834}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.76823556}, {'id': 'https://openalex.org/C32809988', 'wikidata': 'https://www.wikidata.org/wiki/Q1071004', 'display_name': 'Chi-square test', 'level': 2, 'score': 0.7083113}, {'id': 'https://openalex.org/C161584116', 'wikidata': 'https://www.wikidata.org/wiki/Q1952580', 'display_name': 'Multivariate statistics', 'level': 2, 'score': 0.67728686}, {'id': 'https://openalex.org/C110460608', 'wikidata': 'https://www.wikidata.org/wiki/Q1386253', 'display_name': 'F-test', 'level': 3, 'score': 0.66877824}, {'id': 'https://openalex.org/C141286372', 'wikidata': 'https://www.wikidata.org/wiki/Q4753046', 'display_name': 'Ancillary statistic', 'level': 4, 'score': 0.65299314}, {'id': 'https://openalex.org/C162511642', 'wikidata': 'https://www.wikidata.org/wiki/Q7120293', 'display_name': 'PRESS statistic', 'level': 5, 'score': 0.6529607}, {'id': 'https://openalex.org/C120639', 'wikidata': 'https://www.wikidata.org/wiki/Q7068958', 'display_name': 'Null distribution', 'level': 4, 'score': 0.61282456}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.6104623}, {'id': 'https://openalex.org/C169857963', 'wikidata': 'https://www.wikidata.org/wiki/Q1461038', 'display_name': 'Test statistic', 'level': 3, 'score': 0.58676773}, {'id': 'https://openalex.org/C191988596', 'wikidata': 'https://www.wikidata.org/wiki/Q628374', 'display_name': 'Null hypothesis', 'level': 2, 'score': 0.5318493}, {'id': 'https://openalex.org/C177148314', 'wikidata': 'https://www.wikidata.org/wiki/Q170084', 'display_name': 'Generalization', 'level': 2, 'score': 0.52689314}, {'id': 'https://openalex.org/C66924754', 'wikidata': 'https://www.wikidata.org/wiki/Q2336256', 'display_name': "Pearson's chi-squared test", 'level': 4, 'score': 0.5128315}, {'id': 'https://openalex.org/C135692309', 'wikidata': 'https://www.wikidata.org/wiki/Q111124', 'display_name': 'Square (algebra)', 'level': 2, 'score': 0.46524513}, {'id': 'https://openalex.org/C38180746', 'wikidata': 'https://www.wikidata.org/wiki/Q1952580', 'display_name': 'Multivariate analysis', 'level': 2, 'score': 0.4407069}, {'id': 'https://openalex.org/C87007009', 'wikidata': 'https://www.wikidata.org/wiki/Q210832', 'display_name': 'Statistical hypothesis testing', 'level': 2, 'score': 0.4017066}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.39903224}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.107127935}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/03610928908830015', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S128350725', 'display_name': 'Communication in Statistics- Theory and Methods', 'issn_l': '0361-0926', 'issn': ['0361-0926', '1532-415X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/3', 'display_name': 'Good health and well-being', 'score': 0.7}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 3, 'referenced_works': ['https://openalex.org/W1974637548', 'https://openalex.org/W1992225165', 'https://openalex.org/W2113525985'], 'related_works': ['https://openalex.org/W4382393860', 'https://openalex.org/W2948724358', 'https://openalex.org/W2489859977', 'https://openalex.org/W2091804792', 'https://openalex.org/W2071425441', 'https://openalex.org/W2042141891', 'https://openalex.org/W2008823833', 'https://openalex.org/W1990403945', 'https://openalex.org/W1970608232', 'https://openalex.org/W1607202086'], 'abstract_inverted_index': {'Abstract': [0], 'The': [1], 'usual': [2], 't-statistic': [3], 'is': [4, 27, 40], 'not': [5], 'useful': [6], 'if': [7], 'the': [8, 21], 'successive': [9, 96], 'observations': [10, 54], 'have': [11], 'some': [12], 'kind': [13], 'of': [14, 73, 80], 'linear': [15], 'trend.': [16], 'This': [17], 'generally': [18], 'arises': [19], 'in': [20, 103], 'drug': [22], 'testing': [23, 44], 'experiment': [24], 'and': [25, 50, 64, 75, 99], 'it': [26], 'clearly': [28], 'pointed': [29], 'out': [30], 'by': [31, 42], 'Shah': [32], '(1988).': [33], 'He': [34], 'suggests': [35], 'to': [36, 61], 'use': [37], "t'-statistic": [38], 'which': [39], 'defined': [41], 'for': [43], 'μ': [45], '=': [46, 86], '0': [47], 'where': [48, 68], ',': [49], 'y1.,…,yk': [51], 'are': [52, 82, 91], 'independent': [53], 'from': [55], '.': [56], 'We': [57], 'generalize': [58], 'this': [59, 88], 'statistic': [60], 'multivariate': [62], 'situation': [63], 'define': [65], "T'-statistic": [66], 'as': [67], '.The': [69], 'exact': [70], 'null': [71, 78], 'distribution': [72, 79], "T'": [74, 81], 'an': [76], 'approximate': [77, 89], 'obtained.': [83], 'For': [84], 'p': [85], '1,': [87], 'values': [90], 'compared.': [92], 'Keywords:': [93], 'mean': [94], 'square': [95], 'differenceWishart': [97], 'distritutionF': [98], 't': [100], 'distributionshypergeometric': [101], 'function': [102], 'matrix': [104], 'arguments': [105]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2071425441', 'counts_by_year': [{'year': 2017, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}], 'updated_date': '2024-12-13T04:09:29.548150', 'created_date': '2016-06-24'}