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International Journal of
            Population Studies                             Validity and reliability of Mini-Mental State Examination in older Chinese




            Table 4. Factorial invariance – young‑old and old‑old.
            Factorial invariance          CFI                TLI                RMSEA                 SRMR
            Configural                   0.999               0.999               0.009                0.057
            Metric                       0.999               0.998               0.015                0.066
            Scalar                       0.999               0.999               0.010                0.060
            Strict                       0.999               0.999               0.012                0.059
            CFI, comparative fit index; TLI, Tucker-Lewis index; RMSEA, root mean square error of approximation; SRMR, standardized root mean squared
            residual.

            4. Conclusion and discussion                       cognitive function construct within which the seven
                                                               dimensions of cognitive functions were grouped under
            This study explored and validated the factor structure of   it. This duality property was reflected in the results of
            MMSE through EFA, CFA, and the factorial invariance   CFA. The seven-factor CFA model turned out as the best
            test. The validation results indicated a seven-factor oblique   model in which the MMSE items were grouped under
            CFA best fitted the MMSE inventory, specifying seven   their respective cognitive functions according to the
            cognitive functions inherently within it: Orientation, short   theoretical grouping showed not only the alignment with
            recall, delayed recall, calculation, language, comprehend   theory expectation but also indicating the first property
            instruction, and visuospatial. These results were similar to   of this inventory that these seven cognitive functions
            MMSE literature on their cognitive functions but differed   were associated but were separate constructs. The second
            in the number of dimensions. The factorial invariance   best fit CFA, the second-order CFA with a slightly lower
            confirmed the hypothesized CFA was at a high invariance   fit, indicated the possibility to view this inventory as a
            level showing almost no measurement differences between   second-order cognitive function construct. The moderate
            the young-old  and old-old. The reliability results also   to high factor correlations of the seven constructs within
            indicated that these 23 MMSE indicators that formed the   the seven oblique CFA further showed evidence that
            seven factors were of high reliability.
                                                               these seven constructs were positively associated but were
              One main finding of the present study is the statistical   different in their cognitive functionality. Similarly, the
            results of the CFA indicated the alignment between the 23   low fit of the seven-factor orthogonal CFA also indicated
            MMSE items with the theoretical expected seven cognitive   the unlikeliness that the seven MMSE constructs were
            functions. For instance, the three items of registration of   unrelated. The practical implication of this duality property
            desk, apple, and dress were fittingly grouped under the   is that MMSE can be viewed as an overall indicator or as
            short recall cognitive function, and the five subtraction   separate seven distinct but related cognitive functions.
            calculation items properly formed the calculation    Another crucial conclusion and inference from the
            cognitive function. This finding did not appear in the   CFA result is that it indicates the routine way of generating
            MMSE literature that generally reported a low dimension   an MMSE score, whether it is viewed as separate seven
            (e.g., Fillenbaum, Heyman, Wilkinson, et al., 1987). One   constructs or an overall higher-order construct, the
            plausible reason is that the MMSE literature was not   summated score to generate an overall MMSE score
            predominantly to establish the dimensions of the MMSE   or  subscale  MMSE  scores  by  summing  the  items  is  not
            inventory with the main purpose being to relate the MMSE   an appropriate procedure. The earlier studies on the
            items to the respective cognitive functions they belonged   validation of MMSE often use an all-inclusive MMSE
            to (e.g., Fillenbaum, Heyman, Wilkinson,  et al., 1987;   summated score to represent an index in measuring the
            Tinklenberg,  Brooks, Tanke,  et al., 1990)  but reluctantly   level of cognitive function by summing the MMSE items
            used the EFA to confirm a low dimension to form a   according to the number of items correctly answered
            summated MMSE score. Another probable reason is that   (e.g., Park, Kwon, Jung, et al., 2012 used domain MMSE
            more updated appropriate EFA procedures to determine   summated scores). The limitations of the summated score
            the number of dimensions used in the present paper were   were well noted in the measurement literature. The main
            not adopted even for the more recent papers (e.g., Baek,   limitation is that summated score does not take care of
            Kim, Park, et al., 2016).                          measurement errors. When the summated score is further

              The present paper also revealed the characteristics of   subdivided into a few categorical levels using a cutoff
            the MMSE inventory possess a duality factorial structure   arbitrary decision to distinguish the risk level of cognitive
            that could be viewed as a seven dimension of cognitive   impairment, additional measurement errors are introduced
            functions, and also as a general higher-order all-inclusive   and converting a continuous score to a categorical variable


            Volume 8 Issue 1 (2022)                         8                     https://doi.org/10.36922/ijps.v8i1.1285
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