Home » BTS Publications » Journal of Transportation and Statistics » Volume 08 Number 02 »

TABLE 3 - Results of z-test for Time Gap

TABLE 3 - Results of z-test for Time Gap

Excel

  Hypothesis p value (one tail) Reject the null hypothesis?
Short term uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} 2.53107E-08 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} 8.50431E-14 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} 0.454587 No
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} 0.000105 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} 8.50431E-14 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} = lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} is less than lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} 0.000236 Yes
Long term uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} 0 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} 0 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t} 0.212811 No
uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t} 7.38E-09 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t} 0 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} is less than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} 0.000126 Yes
Short term vs. long term uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} is greater than lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} 0 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} is greater than lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} 0.00107 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} is greater than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} 1.28E-05 Yes
uppercase h subscript {0}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} = lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t}; uppercase h subscript {1}: lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} is greater than lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t} 0.003949 Yes

Key:

lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase c} is the average gap for a car-followed-by-a-car pattern in a short-term work zone

lowercase g superscript {lowercase s lowercase t} subscript {lowercase c minus lowercase t} is the average gap for a car-followed-by-a-truck pattern in a short-term work zone

lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase c} is the average gap for a truck-followed-by-a-car pattern in a short-term work zone

lowercase g superscript {lowercase s lowercase t} subscript {lowercase t minus lowercase t} is the average gap for a truck-followed-by-a-truck pattern in a short-term work zone

lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase c} is the average gap for a car-followed-by-a-car pattern in a long-term work zone

lowercase g superscript {lowercase l lowercase t} subscript {lowercase c minus lowercase t} is the average gap for a car-followed-by-a-truck pattern in a long-term work zone

lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase c} is the average gap for a truck-followed-by-a-car pattern in a long-term work zone

lowercase g superscript {lowercase l lowercase t} subscript {lowercase t minus lowercase t} is the average gap for a truck-followed-by-a-truck pattern in a long-term work zone

Note: Level of significance (α) = 5%.