Calculating Final Score (PS) in Bimodal Scenarios

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In Batoi Insight, calculating the final score (PS) when dealing with bimodal scenarios requires careful handling to ensure the accuracy and representation of the data. This section provides a detailed explanation and step-by-step process for calculating the final score in such scenarios.

Step 1: Calculate the Central Tendency for Each Mode

For bimodal data, you need to calculate each identified mode's central tendency (mean, median, or mode) separately.

Step 2: Determine Weighted Scores for Each Mode

Calculate the weighted score for each mode using the assigned weights for the score parameters.

Step 3: Combine the Scores

Combine the weighted scores of the modes using appropriate operations (addition, average, etc.).

Step 4: Apply Adjustment Coefficient

Apply the adjustment coefficient to the combined score to obtain the final score (𝑃𝑆).

Now, let us see these steps in an example implementation.

Example Data

  • Survey responses for a question: [2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 7]
  • Weights for score parameters: π‘Š1 = 0. 6, π‘Š2 = 0. 4
  • Adjustment coefficient for the group: Cg = 1. 1

Step 1: Calculate the Central Tendency for Each Mode

  • Identify the modes:
    • Modes: 4 and 5 (both have the highest frequency)
  • Calculate the mean for each mode:
    • Mean for mode 4: (4 + 4 + 4)/3 = 4
    • Mean for mode 5: (5 + 5 + 5 + 5)/4 = 5

Step 2: Determine Weighted Scores for Each Mode

Calculate the weighted scores:

  • Weighted score for mode 4: π‘Š1 β‹… 4 + π‘Š2 β‹… 4 = 0. 6 β‹… 4 + 0. 4 β‹… 4 = 2. 4 + 1. 6 = 4
  • Weighted score for mode 5: π‘Š1 β‹… 5 + π‘Š2 β‹… 5 = 0. 6 β‹… 5 + 0. 4 β‹… 5 = 3 + 2 = 5

Step 3: Combine the Scores

Combine the weighted scores of the modes:

  • Combined score: (4 + 5)/2 = 4. 5 (averaging the scores)

Step 4: Apply Adjustment Coefficient

Apply the adjustment coefficient:

  • Final score (PS): 𝑃𝑆 = Cg β‹… πΆπ‘œπ‘šπ‘π‘–π‘›π‘’π‘‘_π‘†π‘π‘œπ‘Ÿπ‘’ = 1. 1 β‹… 4. 5 = 4. 95

Conclusion

Calculating the final score (PS) in bimodal scenarios involves identifying the modes, calculating the central tendencies, determining the weighted scores, combining these scores, and applying the adjustment coefficient. This process ensures that the calculated score accurately reflects the survey responses' central tendencies and weights, providing a robust analysis framework.

Please refer to our documentation or contact support for further assistance or detailed examples.

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