What is the impact in terms of reliability of having low expected frequencies (less than 5) when doing chi-square test?
and why is that?
The chi- square is unreliable for low expected frequencies.No theoretical cell frequency should be less than 5. The chi- square distribution is continuous distribution if frequency is less than five it can't maintenans the property of continuity so we use pooled frequency to maintain the continuity. If any frequency is less than five then application of chi square test is it is pooled with preceding or succeeding frequency so pooled frequency is more than five. And adjust degree freedom lost in pooling.
Chi-Squre distribution only depends on observed and expected frequencies on degree of freedom.
When frequency is very low the theoretical and observed distribution is plotted the observed distribution is very irregular.
What is the impact in terms of reliability of having low expected frequencies (less than 5)...
A chi-square test should not be used if any expected frequency is less than five. True False
In a chi-square test, what would it mean if the P-value were less than 5%? a. That there is no real difference between observed and expected values. b. That there is a difference between observed and expected values. c. That any difference between observed and expected values is probably not due to random chance. d. a and c are true e. b and c are true
Under which circumstances are chi-square tests biased? ___ if any expected value is less than 1.0 or > 25% of the expected values are less than 5.0 small sample size when there is 1 degree of freedom all of the above
True/False Mark each of the following with a (+) for true and a (-) for false. ____1. The paired t-test has no underlying distribution assumptions. ____2. The chi-square statistic is always greater than or equal to zero. ____3. If the population is normal, we would still prefer a nonparametric test. ____4. The following 2X2 table would have a chi-square test statistic of zero: ____5. A criticism of the sign test is that magnitudes have no importance. ____6. The sign test...
Descriptive Statistics Mean Std. Deviation Minimum 2.02. 8201 Maximum Type.netish Type of Fish Observed N Expected N Residual Atlantic Cod 16.7 Acadian Redfish 16.7 Atlantic Lobster +16.7 Total Test Statistics Type of Fish Chi-Square 040- Asyme. Sig. 980 a. O cells (0,0%) have expected frequencies less than 5. The minimum expected cell frequency is 16.7. (Ctrl) - For this assignment, you will use the chi-square goodness of fit test to determine if the proportion of fish species in one location...
In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is O 2 3...
A sociologist randomly selects 382 females 15 to 19 years old and asks each to disclose her family structure at age 14 and whether she has had sexual intercourse. Use the results in the accompanying table to complete parts (a) through (f) below. Click the icon to view the data table of family structure and sexual activity. (a) Compute the expected values of each cell under the assumption of independence. Had sexual intercourse Both Biological or Adoptive Parents Single Parent...
Question 42 Chi square is zero when: Expected frequency is greater than the observed frequency O Expected frequency is equal to the observed frequency Expected frequency is the square of the observed frequency Expected frequency is less than the observed frequency A Moving to another question will save this response.
When determining how well an observed set of frequencies fit an expected set of frequencies, what is the test statistic for the test of the Uniform distribution? F-statistic t-statistic. statistic z-statistic
Infants weighing less than 1,500 grams at birth are classed as "very low birth weight." Low birth weight carries many risks. IQ tests are designed to produce IQ scores varying Normally with standard deviation ?=15 . They are also scaled so that the mean score in a large population should be ?=100 . One study followed 113 male infants with very low birth weight to adulthood. At age 20 , the mean IQ score for these men was ?¯=87.6 ....