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| <translate>Now let us assume, for example, that the population sample <math>n</math>, to which our good patient Mary Poppins belongs, is a category of subjects aged 20 to 70. We also assume that in this population we have those who present the elements belonging to the data set <math>D=\{\delta_1,.....\delta_n\}</math> which correspond to the laboratory tests mentioned above and precisa in '[[The logic of classical language]]'</translate>. | | <translate>Now let us assume, for example, that the population sample <math>n</math>, to which our good patient Mary Poppins belongs, is a category of subjects aged 20 to 70. We also assume that in this population we have those who present the elements belonging to the data set <math>D=\{\delta_1,.....\delta_n\}</math> which correspond to the laboratory tests mentioned above and precisa in '[[The logic of classical language]]'</translate>. |
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− | Let us suppose that in a sample of 10,000 subjects from 20 to 70 we will have an incidence of 30 subjects <math>p(D)=0.003</math> showing clinical signs <math>\delta_1</math> and <math>\delta_4 | + | <translate>Let us suppose that in a sample of 10,000 subjects from 20 to 70 we will have an incidence of 30 subjects <math>p(D)=0.003</math> showing clinical signs <math>\delta_1</math> and <math>\delta_4 |
− | </math>. We preferred to use these reports for the demonstration of the probabilistic process because in the literature the data regarding clinical signs and symptoms for Temporomandibular Disorders have too wide a variation as well as too high an incidence in our opinion.<ref name=":2">{{Cite book | + | </math></translate>. <translate>We preferred to use these reports for the demonstration of the probabilistic process because in the literature the data regarding clinical signs and symptoms for Temporomandibular Disorders have too wide a variation as well as too high an incidence in our opinion</translate>.<ref name=":2">{{Cite book |
| | autore = Pantoja LLQ | | | autore = Pantoja LLQ |
| | autore2 = De Toledo IP | | | autore2 = De Toledo IP |
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− | An example of sample partition with presumed probability in which TMJ degeneration (Deg.TMJ) occurs in conjunction with Temporomandibular Disorders (TMDs) would be the following: | + | <translate>An example of a partition with presumed probability in which TMJ degeneration (Deg.TMJ) occurs in conjunction with Temporomandibular Disorders (TMDs) would be the following</translate>: |
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| |<math>P(D| Deg.TMJ \cap TMDs)=0.95 \qquad \qquad \; </math> | | |<math>P(D| Deg.TMJ \cap TMDs)=0.95 \qquad \qquad \; </math> |
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− | |where | + | |<translate>where</translate> |
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| |<math>P(D| Deg.TMJ \cap noTMDs)=0.3 \qquad \qquad \quad </math> | | |<math>P(D| Deg.TMJ \cap noTMDs)=0.3 \qquad \qquad \quad </math> |
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− | |where | + | |<translate>where</translate> |
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| |<math>P(D| no Deg.TMJ \cap TMDs)=0.199 \qquad \qquad \; </math> | | |<math>P(D| no Deg.TMJ \cap TMDs)=0.199 \qquad \qquad \; </math> |
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− | |where | + | |<translate>where</translate> |
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| |<math>P(D| noDeg.TMJ \cap noTMDs)=0.001 \qquad \qquad \;</math> | | |<math>P(D| noDeg.TMJ \cap noTMDs)=0.001 \qquad \qquad \;</math> |
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− | |where | + | |<translate>where</translate> |
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− | {{q2|A homogeneous partition provides what we are used to calling Differential Diagnosis.|}} | + | {{q2|<translate>A homogeneous partition provides what we are used to calling Differential Diagnosis</translate>.|}} |
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− | ====Clinical situations==== | + | ====<translate>Clinical situations</translate>==== |
− | These conditional probabilities demonstrate that each of the partition's four subclasses is causally relevant to patient data <math>D=\{\delta_1,.....\delta_n\}</math> in the population sample <math>PO</math>. Given the aforementioned partition of the reference class, we have the following clinical situations. | + | <translate>These conditional probabilities demonstrate that each of the partition's four subclasses is causally relevant to patient data <math>D=\{\delta_1,.....\delta_n\}</math> in the population sample <math>PO</math></translate>. <translate>Given the aforementioned partition of the reference class, we have the following clinical situations</translate>: |
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− | *Mary Poppins <math>\in</math> degeneration of the temporomandibular joint <math>\cap</math> Temporomandibular Disorders | + | *<translate>Mary Poppins <math>\in</math> degeneration of the temporomandibular joint <math>\cap</math> Temporomandibular Disorders</translate> |
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− | *Mary Poppins <math>\in</math> degeneration of the temporomandibular joint <math>\cap</math> no Temporomandibular Disorders | + | *<translate>Mary Poppins <math>\in</math> degeneration of the temporomandibular joint <math>\cap</math> no Temporomandibular Disorders</translate> |
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− | *Mary Poppins <math>\in</math> no degeneration of the temporomandibular joint <math>\cap</math> Temporomandibular Disorders | + | *<translate>Mary Poppins <math>\in</math> no degeneration of the temporomandibular joint <math>\cap</math> Temporomandibular Disorders</translate> |
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− | *Mary Poppins <math>\in</math> no degeneration of the temporomandibular joint <math>\cap</math> no Temporomandibular Disorders. | + | *<translate>Mary Poppins <math>\in</math> no degeneration of the temporomandibular joint <math>\cap</math> no Temporomandibular Disorders</translate> |
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− | To arrive at the final diagnosis above, we conducted a probabilistic-causal analysis of Mary Poppins' health status whose initial data were <math>D=\{\delta_1,.....\delta_n\}</math>. | + | <translate>To arrive at the final diagnosis above, we conducted a probabilistic-causal analysis of Mary Poppins' health status whose initial data were <math>D=\{\delta_1,.....\delta_n\}</math></translate>. |
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− | In general, we can refer to a logical process in which we examine the following elements: | + | <translate>In general, we can refer to a logical process in which we examine the following elements</translate>: |
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| *an individual: <math>a</math> | | *an individual: <math>a</math> |