# What is the difference between the proper time interval and the dilated time interval?

Table of Contents

- 1 What is the difference between the proper time interval and the dilated time interval?
- 2 Why is the prediction interval wider than the confidence?
- 3 What does a larger confidence interval mean?
- 4 Is time in the Earth observer shorter or longer?
- 5 Why are the 95% prediction intervals wider than the 95% confidence intervals?
- 6 Is a wider confidence interval more precise?
- 7 What is the difference between interval recording and time sampling?
- 8 What is the difference between momentary time sampling and partial interval?
- 9 What is a proper time interval in physics?
- 10 What is a proper time interval for an observer?

## What is the difference between the proper time interval and the dilated time interval?

The time of the moving clock is correct as far as an observer moving in the same frame of reference as the clock and is called the ‘proper time’. However the time recorded by a stationary observer in the same time interval is longer or ‘dilated’.

### Why is the prediction interval wider than the confidence?

Prediction intervals must account for both the uncertainty in estimating the population mean, plus the random variation of the individual values. So a prediction interval is always wider than a confidence interval. Also, the prediction interval will not converge to a single value as the sample size increases.

#### What does a larger confidence interval mean?

Wider confidence intervals in relation to the estimate itself indicate instability. For example, if 5 percent of voters are undecided, but the margin of error of your survey is plus or minus 3.5 percent, then the estimate is relatively unstable.

**Does partial interval recording overestimate?**

-Partial-interval recording typically overestimates the overall duration and underestimates the rate of the behavior because if a behavior occurs multiple times during an interval, it is still documented as occurring only once.

**Is dilated time shorter than proper time?**

A clock in a moving frame will be seen to be running slow, or “dilated” according to the Lorentz transformation. The time will always be shortest as measured in its rest frame. The time measured in the frame in which the clock is at rest is called the “proper time”.

## Is time in the Earth observer shorter or longer?

The Earth-bound observer sees time dilate (get longer) for a system moving relative to the Earth. Alternatively, according to the Earth-bound observer, time slows in the moving frame, since less time passes there.

### Why are the 95% prediction intervals wider than the 95% confidence intervals?

We can now be 95% confident that the bounce height of the next basketball produced with the same settings will lie in this range. Note that we are not predicting the mean here rather an individual value, so there’s greater uncertainty involved and thus a prediction interval is always wider than the confidence interval.

#### Is a wider confidence interval more precise?

The width of the confidence interval for an individual study depends to a large extent on the sample size. Larger studies tend to give more precise estimates of effects (and hence have narrower confidence intervals) than smaller studies.

**Why does increasing sample size decrease confidence interval?**

Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error. For any one particular interval, the true population percentage is either inside the interval or outside the interval. In this case, it is either in between 350 and 400, or it is not in between 350 and 400.

**What is the relationship between the confidence level and the size of the confidence interval?**

The larger your sample, the more sure you can be that their answers truly reflect the population. This indicates that for a given confidence level, the larger your sample size, the smaller your confidence interval.

## What is the difference between interval recording and time sampling?

An interval recording strategy involves observing whether a behavior occurs or does not occur during specified time periods. In momentary time sampling, the observer looks up and records whether a behavior occurs or does not occur at the very end of the interval.

### What is the difference between momentary time sampling and partial interval?

In partial interval recording, you mark whether the behavior occurred at least once during the short observation interval. In momentary time sampling, you look up immediately at pre-designated points and notice whether the behavior is occurring at that precise moment.

#### What is a proper time interval in physics?

A proper time interval is the distance between two events on a trajectory of an object in spacetime. If you have two objects, each would have its own trajectory and they would be separated. If you measure the distance between one event on one trajectory and another event on another trajectory, it is easy to imagine…

**Can we use a T-interval to estimate the mean?**

The much more realistic scenario is using a t-interval to estimate an unknown population mean. This interval relies on our sample standard deviation in calculating the margin of error. All this means for us is that the formula will be very similar, but the critical value will no longer come from the normal distribution.

**What is the value of prediction intervals?**

The value of prediction intervals is that they express the uncertainty in the forecasts. If we only produce point forecasts, there is no way of telling how accurate the forecasts are. However, if we also produce prediction intervals, then it is clear how much uncertainty is associated with each forecast.

## What is a proper time interval for an observer?

A proper time interval for an observer who, like the astronaut, is moving with the apparatus, is smaller than the time interval for other observers. It is the smallest possible measured time between two events.