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Browsing by Author "Chakrabartty, Satyendra"

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    Geometric mean approach to measure Composite Index
    (Revistamultidisciplinar, 2024-01-02) Chakrabartty, Satyendra
    O Índice Composto (IC) combina medidas de indicadores sobre variáveis económicas, sociais, ambientais, iniciativas governamentais, bem-estar da saúde, psicológico, satisfação das necessidades básicas, social/cultural, etc. No entanto, as medidas existentes de IC sofrem de limitações. O presente documento propõe que a medida do IC seja a média geométrica (GM), que evita o escalonamento e a escolha de pesos. Esta medida ajuda a comparar melhor os países no tempo e no espaço e satisfaz as propriedades desejadas, como a função contínua monotonicamente crescente, a elasticidade constante, a identificação de áreas-chave, a redução do nível de substituibilidade, a formação de índices em cadeia para mostrar o crescimento do IC de um país e é menos afetada por valores atípicos. O índice, com ampla aplicabilidade, pode ser utilizado para a classificação de países e facilita o cálculo da média e da variância de uma amostra de países. Além disso, o índice satisfaz o teste de inversão temporal, ajuda a identificar as áreas críticas e a encontrar a contribuição dos indicadores componentes, a estimar os parâmetros populacionais e a testar hipóteses estatísticas. Podem ser construídos índices separados por domínios, considerando indicadores relevantes para um domínio. Trata-se, portanto, de uma melhoria em relação aos métodos existentes. Sugerem-se estudos futuros.
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    Improved scoring of satisfaction with life scale: scoring of swls /
    (RevistaMultidisciplinar.com, 2023-01-01) Chakrabartty, Satyendra
    The Satisfaction with Life Scale (SWLS), a 5-item instrument with 7 response-categories per item, measures cognitive judgments of satisfaction with one's life using summative scoring where higher score implies higher life satisfaction. Discrete scores of SWLS using Likert-type items fail to satisfy equidistant property and do not consider distributions of item scores or scale scores. The paper gives an assumption-free method to convert item scores of SWLS to continuous scores following normal distribution and scale score is taken as sum of such normally distributed item scores. The proposed scores avoiding tied-scores facilitate better admissibility of arithmetic aggregation, meaningful comparisons, ranking, classification of individuals, assessment of progress/deterioration across time and undertaking parametric statistical analysis. In addition, it helps to assess changes in successive time-periods for an individual or a group of individuals, drawing of progress-paths and test of significance of progress or deterioration. Normality of proposed scores facilitates finding equivalent scores of several measures of life satisfactions with different scale formats and different score-ranges. Empirical illustration is given with hypothetical data. The proposed method is recommended to enhance the utilization of the SWLS for better measurement of satisfaction with life along with meaningful comparisons and inferences.
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    Methodology of comprehensive e-participation index
    (revistamultidisciplinar, 2024-03-24) Chakrabartty, Satyendra
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    Speed and Power Indices of tests and items /
    (revistamultidisciplinar.com, 2023-01-01) Chakrabartty, Satyendra
    A simple index is proposed to measure speed or power components of a test. The index is independent of position of the items and provides necessary and sufficient condition for pure speed test and pure power test and enables testing of statistical hypothesis to infer that the test can be taken as a speed test or a power test. Similar index of an item is also proposed to reflect whether the item is a speed item or a power item. The proposed index C is a ratio such that C = 0 ⟺Pure power test and C = 1⟺Pure speed test facilitating computation of similar index of each item and statistical test of significance. Properties of the index discussed. Operational method outlined to modify a test to speed or power test. Items can be ranked with respect to such item-wise index. Identification of power items and speed items help to modify the test to a speed or power test by deleting items in stages, if speediness (or power) is not intended. Relationship between index for the test and item-wise indices derived.

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