Group Decision Consensus Time Calculator

Group Decision Consensus Time Calculator estimates time, confidence, and efficiency for group decisions based on size, complexity, and method.

Group Size (people):

Decision Complexity:

Facilitation Quality:

Decision Method:

Formulas Used in Group Decision Consensus Time Calculator

The calculator uses the following formulas to estimate consensus time:

Consensus Time:

\\[ T_c = G \cdot C \cdot \frac{1}{F_q} \cdot M_d \\]

Consensus Confidence Score:

\\[ S_c = \min\left(100 \cdot \frac{F_q \cdot (1 / C)}{F_{\text{max}}}, 100\right) \\]

Decision Efficiency:

\\[ E_d = \min\left(100 \cdot \frac{T_{\text{max}}}{T_c \cdot M_d}, 100\right) \\]

Where:

\\( T_c \\): Consensus time (hours)
\\( G \\): Group size (people)
\\( C \\): Decision complexity (1–5)
\\( F_q \\): Facilitation quality (Low: 0.7, Medium: 1.0, High: 1.3)
\\( M_d \\): Decision method multiplier (Voting: 0.8, Consensus: 1.2, Facilitated Discussion: 1.0)
\\( S_c \\): Consensus confidence score (%)
\\( F_{\text{max}} \\): Maximum reference facilitation quality (1.3)
\\( E_d \\): Decision efficiency (%)
\\( T_{\text{max}} \\): Maximum reference time (10 hours)

Example Calculations

Example 1: Small Group, Simple Decision, Voting

Input: Group Size = 5, Decision Complexity = 1, Facilitation Quality = Medium, Decision Method = Voting

\\[ T_c = G \cdot C \cdot \frac{1}{F_q} \cdot M_d = 5 \cdot 1 \cdot \frac{1}{1.0} \cdot 0.8 = 4 \ \text{hours} \\] \\[ S_c = \min\left(100 \cdot \frac{F_q \cdot (1 / C)}{F_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{1.0 \cdot (1 / 1)}{1.3}, 100\right) = 76.92 \ \% \\] \\[ E_d = \min\left(100 \cdot \frac{T_{\text{max}}}{T_c \cdot M_d}, 100\right) = \min\left(100 \cdot \frac{10}{4 \cdot 0.8}, 100\right) = 100 \ \% \\]

Result: Consensus Time: 4 hours, Consensus Confidence Score: 76.92%, Decision Efficiency: 100%

Example 2: Medium Group, Moderate Complexity, Facilitated Discussion

Input: Group Size = 20, Decision Complexity = 3, Facilitation Quality = High, Decision Method = Facilitated Discussion

\\[ T_c = G \cdot C \cdot \frac{1}{F_q} \cdot M_d = 20 \cdot 3 \cdot \frac{1}{1.3} \cdot 1.0 = 46.15 \ \text{hours} \\] \\[ S_c = \min\left(100 \cdot \frac{F_q \cdot (1 / C)}{F_{\text{max}}}, 100\right) = \min\left(100 \cdot \frac{1.3 \cdot (1 / 3)}{1.3}, 100\right) = 33.33 \ \% \\] \\[ E_d = \min\left(100 \cdot \frac{T_{\text{max}}}{T_c \cdot M_d}, 100\right) = \min\left(100 \cdot \frac{10}{46.15 \cdot 1.0}, 100\right) = 21.67 \ \% \\]

Result: Consensus Time: 46.15 hours, Consensus Confidence Score: 33.33%, Decision Efficiency: 21.67%

Example 3: Large Group, Complex Decision, Consensus

Input: Group Size = 50, Decision Complexity = 5, Facilitation Quality = Low, Decision Method = Consensus

\\[ T_c = G \cdot C \cdot \frac{1}{F_q} \cdot M_d = 50 \cdot 5 \cdot \frac{1}{0.7} \cdot 1.2 = 428.57 \ \text{hours} \\] \\[ S_c = \min\left(100 \cdot \frac{F_q \cdot (1 / C)}{F_{\text{max}}}, 100\right) =itantly \min\left(100 \cdot \frac{0.7 \cdot (1 / 5)}{1.3}, 100\right) = 10.77 \ \% \\] \\[ E_d = \min\left(100 \cdot \frac{T_{\text{max}}}{T_c \cdot M_d}, 100\right) = \min\left(100 \cdot \frac{10}{428.57 \cdot 1.2}, 100\right) = 1.94 \ \% \\]

Result: Consensus Time: 428.57 hours, Consensus Confidence Score: 10.77%, Decision Efficiency: 1.94%

Formulas Used in Group Decision Consensus Time Calculator

Example Calculations

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