> Most of the things that give you precision will also give you accuracy.
This is absolutely false - digital clocks are a common example. Precise to the second (or millisecond, or more!) but only as accurate as their setting.
Calculations also give precision without accuracy, like my package of tortilla chips - 13oz (368.5g) They took a measurement or specification precise to the ounce, multiplied by 28.3495, and got 368.5.
Accuracy and precision are independent variables, and the utility of either is usually limited to the order of magnitude of the other. With either "accurate to the second with a precision of milliseconds", or "accurate to the millisecond with precision to the second", you should only report a measurement to the second (or possibly a more precise measurement with an error range).
This is absolutely false - digital clocks are a common example. Precise to the second (or millisecond, or more!) but only as accurate as their setting.
Calculations also give precision without accuracy, like my package of tortilla chips - 13oz (368.5g) They took a measurement or specification precise to the ounce, multiplied by 28.3495, and got 368.5.
Accuracy and precision are independent variables, and the utility of either is usually limited to the order of magnitude of the other. With either "accurate to the second with a precision of milliseconds", or "accurate to the millisecond with precision to the second", you should only report a measurement to the second (or possibly a more precise measurement with an error range).