Catalogue

Definition and Explanation

Extent of Change is a characteristic dimension in horizontal analysis.

It is used to measure the overall growth extent of a customer from the start of use to the most recent feedback update.

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Definition: The extent of change is a holistic concept that evolves continuously with a customer's feedback. For example, a customer using the first phase of Zhenyang Tendon Expansion Formula may initially show a change extent categorized as "<minimal change>." However, as they continue using the formula, by the end of the third phase, the overall extent of change may be categorized as "<significant change>."

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Extent of Change Classification

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The extent of change, as referred to here, includes three types of primary substantive changes: length, width, and thickness.

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That is, it is a comprehensive consideration. For example, if in a case categorized under "significant change," the customer's length growth is not substantial, it indicates that their width and thickness changes must be exceptionally pronounced to qualify for the "significant change" label.

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The statistical principle behind the classification of the extent of change involves fitting a large sample size to determine the actual frequency distribution, which exhibits a slightly left-skewed normal distribution. Here's how it works:

1. Axes of the Distribution:
   • The vertical axis represents probability.
   • The horizontal axis represents the magnitude of change, objectively weighted using entropy weighting by to avoid 真阳 biases.
2. Classification of Change:
   • General Change: Falls within the expected range of the actual distribution.
   • Significant Change: Substantially greater than the expected range.
   • Minimal Change: Substantially smaller than the expected range.
   • Excellent Change: Slightly greater than the expected range.
3. Key Features of the Distribution:
   • Right Peak: Indicates that most samples cluster around the "<Excellent Change>" category, with a relatively higher peak value.
     • Implication: A majority of samples show "Excellent Change," while fewer fall under "Significant Change."
   • Left Tail: Indicates a longer tail on the left side, reflecting some values significantly below the expected range but occurring infrequently.
     • Implication: A minority of samples fall into "General Change," and even fewer into "Minimal Change."
4. Sampling and Classification Details:
   • To avoid systematic errors caused by "<Initial Phase>" or "<Explosive Growth>" effects, only customer samples with three or more phases of data are used for fitting the actual frequency distribution.
   • However, when classifying the extent of change for an individual customer, this restriction is not applied. Instead, the classification is directly based on the weights corresponding to the overall actual distribution.
     • Dynamic Updates: A customer's extent of change classification is dynamically updated with their latest feedback, as illustrated earlier.

This method ensures a comprehensive and objective approach to classification while enabling real-time updates based on individual progress.

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The visualization work is in progress. Please stay tuned for updates.

Corresponding Cases

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