"Statistically significant" means that the result is beyond the element of chance.
the perception of a relationship between two variables that does not actually exist.
A result is statistically significant if:it is unlikely to have occurred by chance
No, it is not.
Correlation analysis. But you will need a lot more knowledge of statistics before you can decide whether the result is [statistically] significant or not, and if it is, what that means.
"Statistically significant" means that the result is beyond the element of chance.
the perception of a relationship between two variables that does not actually exist.
A result is statistically significant if:it is unlikely to have occurred by chance
A person believes cell phones cause cancer despite scientific studies finding no correlation between them.
No, it is not.
Illusory correlation refers to the perception of a relationship between two variables that does not actually exist. This can occur when rare events are paired together in a person's mind, leading to the mistaken belief that there is a causal connection between them. In reality, the correlation is just a product of coincidence or bias.
Correlation analysis. But you will need a lot more knowledge of statistics before you can decide whether the result is [statistically] significant or not, and if it is, what that means.
if it is unlikely to have happened by chance
This means that the correlation is negative but still significant.
Most athletes have some sort of "lucky" game behavior, like their lucky socks. They wore the socks one time when they played really well and so they associate them with doing well. However, they will disregard any of the times that they wore the socks and did not play well. This is an illusory correlation because the socks have nothing to do with actually doing well.
No. However, the difference between them can be.
If by positive you mean that an increase in the independent variable is accompanied by an increase in the dependent variable then this will be indicated by a correlation close to one. What is considered 'close to one' depends on the field of study. In some fields where it can be quite difficult to establish relationships between variables a correlation of, say, 0.35 might be considered important, provided of course that it has been shown to be statistically significant.