Social Influence Score Calculator

Formulas Used in Social Influence Score Calculator

The calculator uses the following formulas to estimate social influence:

Social Influence Score:

\\[ S_i = (F \cdot E \cdot P_f \cdot M_p)^{0.5} \\]

Engagement Rate:

\\[ R_e = \frac{E}{F \cdot 1000} \cdot 100 \\]

Reach Efficiency:

\\[ R_f = \min\left(100 \cdot \frac{S_i}{S_{\text{max}}}, 100\right) \\]

Where:

\\( S_i \\): Social influence score (units)
\\( F \\): Follower count (thousands)
\\( E \\): Average engagement per post (interactions)
\\( P_f \\): Posting frequency (posts per week)
\\( M_p \\): Platform multiplier (Twitter: 0.8, Instagram: 1.0, LinkedIn: 0.9)
\\( R_e \\): Engagement rate (%)
\\( R_f \\): Reach efficiency (%)
\\( S_{\text{max}} \\): Maximum reference score (1000)

Example Calculations

Example 1: Low Influence, Small Following

Input: Follower Count = 5 thousand, Engagement = 100, Posting Frequency = 2, Platform = Twitter

\\[ S_i = (F \cdot E \cdot P_f \cdot M_p)^{0.5} = (5 \cdot 100 \cdot 2 \cdot 0.8)^{0.5} = 28.28 \ \text{units} \\] \\[ R_e = \frac{E}{F \cdot 1000} \cdot 100 = \frac{100}{5 \cdot 1000} \cdot 100 = 2 \ \% \\] \\[ R_f = \min\left(100 \cdot \frac{S_i}{S_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{28.28}{1000}, 100\right) = 2.83 \ \% \\]

Result: Social Influence Score: 28.28 units, Engagement Rate: 2%, Reach Efficiency: 2.83%

Example 2: Moderate Influence, Instagram

Input: Follower Count = 50 thousand, Engagement = 2000, Posting Frequency = 5, Platform = Instagram

\\[ S_i = (F \cdot E \cdot P_f \cdot M_p)^{0.5} = (50 \cdot 2000 \cdot 5 \cdot 1.0)^{0.5} = 707.11 \ \text{units} \\] \\[ R_e = \frac{E}{F \cdot 1000} \cdot 100 = \frac{2000}{50 \cdot 1000} \cdot 100 = 4 \ \% \\] \\[ R_f = \min\left(100 \cdot \frac{S_i}{S_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{707.11}{1000}, 100\right) = 70.71 \ \% \\]

Result: Social Influence Score: 707.11 units, Engagement Rate: 4%, Reach Efficiency: 70.71%

Example 3: High Influence, Large Following

Input: Follower Count = 500 thousand, Engagement = 8000, Posting Frequency = 10, Platform = LinkedIn

\\[ S_i = (F \cdot E \cdot P_f \cdot M_p)^{0.5} = (500 \cdot 8000 \cdot 10 \cdot 0.9)^{0.5} = 6000 \ \text{units (capped at 1000)} \\] \\[ R_e = \frac{E}{F \cdot 1000} \cdot 100 = \frac{8000}{500 \cdot 1000} \cdot 100 = 1.6 \ \% \\] \\[ R_f = \min\left(100 \cdot \frac{S_i}{S_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{1000}{1000}, 100\right) = 100 \ \% \\]

Result: Social Influence Score: 1000 units, Engagement Rate: 1.6%, Reach Efficiency: 100%

Formulas Used in Social Influence Score Calculator

Example Calculations

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