students t test and beyond
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
I am trying to get a good sense of exactly what gossett (students t) did and exactly what fisher and others did. From what I have been able to research it seems that Gossett gets credit for the t statistic, and fisher gets credit for significance testing. But what exactly did Gossett do with his t test? did he find probabilites, I assume via the normal distribution? did he make conclusions with that? i.e with a t value of 2.8 and n=30 did he conclude that would have been rare and hence 'different' without using the word significance? I cannot get a clear sense of his total contribution. can anybody clarify?
probability statistics normal-distribution math-history
edited Sep 1 at 7:22
BruceET
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
add a comment |Â
up vote
0
down vote
favorite
I am trying to get a good sense of exactly what gossett (students t) did and exactly what fisher and others did. From what I have been able to research it seems that Gossett gets credit for the t statistic, and fisher gets credit for significance testing. But what exactly did Gossett do with his t test? did he find probabilites, I assume via the normal distribution? did he make conclusions with that? i.e with a t value of 2.8 and n=30 did he conclude that would have been rare and hence 'different' without using the word significance? I cannot get a clear sense of his total contribution. can anybody clarify?
probability statistics normal-distribution math-history
edited Sep 1 at 7:22
BruceET
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am trying to get a good sense of exactly what gossett (students t) did and exactly what fisher and others did. From what I have been able to research it seems that Gossett gets credit for the t statistic, and fisher gets credit for significance testing. But what exactly did Gossett do with his t test? did he find probabilites, I assume via the normal distribution? did he make conclusions with that? i.e with a t value of 2.8 and n=30 did he conclude that would have been rare and hence 'different' without using the word significance? I cannot get a clear sense of his total contribution. can anybody clarify?
probability statistics normal-distribution math-history
edited Sep 1 at 7:22
BruceET
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
I am trying to get a good sense of exactly what gossett (students t) did and exactly what fisher and others did. From what I have been able to research it seems that Gossett gets credit for the t statistic, and fisher gets credit for significance testing. But what exactly did Gossett do with his t test? did he find probabilites, I assume via the normal distribution? did he make conclusions with that? i.e with a t value of 2.8 and n=30 did he conclude that would have been rare and hence 'different' without using the word significance? I cannot get a clear sense of his total contribution. can anybody clarify?
probability statistics normal-distribution math-history
probability statistics normal-distribution math-history
edited Sep 1 at 7:22
BruceET
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
edited Sep 1 at 7:22
BruceET
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
edited Sep 1 at 7:22
BruceET
33.8k71440
edited Sep 1 at 7:22
BruceET
33.8k71440
edited Sep 1 at 7:22
BruceET
33.8k71440
33.8k71440
asked Sep 1 at 2:55
GKJohn
6
asked Sep 1 at 2:55
GKJohn
6
asked Sep 1 at 2:55
GKJohn
6
6
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28
add a comment |Â
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2901308%2fstudents-t-test-and-beyond%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Both Fisher and Gossett made important contributions, but both built on previous work. Some accounts say that Gossett derived the distribution of the t statistic; some say he was the first to do so. Perhaps his major contribution was a practical application of that information to an industrial situation, thus (eventually) drawing attention to the need to account for variability in both sample mean $bar X$ and sample standard deviation $S$ in making inferences from small samples.
– BruceET
Sep 1 at 7:28