Are You a Swiftie?

​​3.3 Random Sampling Methods

What’s the Population?

What’s the question?

What’s the Sample?

2

Convenience Sample

Yes woo, ow It's so crazy right now Most incredibly, it's ya girl, B yes It's ya boy, Young You ready? Uh oh, uh oh, uh oh, oh, no, no ow Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no yeah History in the making Part two, it's so crazy right now I look and stare so deep in your eyes I touch on you more and more every time When you leave, I'm begging you not to go Call your name two, three times in a row Such a funny thing for me to try to explain How I'm feeling and my pride is the one to blame Yeah, yeah 'cause I know I don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy, your love's Got me looking, got me looking so crazy in love Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no When I talk to my friends so quietly Who he think he is? Look at what you did to me Tennis shoes, don't even need to buy a new dress If you ain't there, ain't nobody else to impress It's the way that you know what I thought I knew It's the beat that my heart skips when I'm with you But I still don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now so crazy Got me looking so crazy right now, your touch your love Got me looking so crazy right now love Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now hey Looking so crazy, your love's hey Got me looking, got me looking so crazy in love I'm looking so crazy in love's Got me looking, got me looking so crazy in love I'm warmed up now, let's go Young 'Hov, y'all know when the flow is loco Young B and the R-O-C, uh oh oh Ol' G, big homey, the one and only Stick bony, but the pocket is fat like Tony Soprano oh no The ROC handle like Van Axel I shake phonies, man, you can't get next to The genuine article, I do not sing though I sling though, if anything, I bling yo A star like Ringo, war like a Green Beret Crazy bring ya whole set Jay Z in the Range, crazy and deranged They can't figure him out, they like, "Hey, is he insane?" Yessir, I'm cut from a different cloth My texture is the best fur, chinchilla Uh oh, uh oh, uh oh, oh, no, no I been iller than chain smokers How you think I got the name Hova? Uh oh, uh oh, uh oh, oh, no, no I been realer, the game's over Uh oh, uh oh, uh oh, oh, no, no fall back, Young, ever since I made the change over Uh oh, uh oh, uh oh, oh, no, no to platinum the game's been wrap, one Got me looking so crazy, my baby I'm not myself, lately I'm foolish, I don't do this I've been playing myself, baby, I don't care 'Cause your love's got the best of me And, baby, you're making a fool of me You got me sprung and I don't care who sees 'Cause, baby, you got me Baby, you got me you got me so crazy, baby , hey Got me looking so crazy right now, your love's oh love Got me looking so crazy right now lookin' crazy Got me looking so crazy right now, your touch Got me looking so crazy right now baby Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now oh Looking so crazy in love's hey Got me looking, got me looking so crazy in love whoa Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy in love's Got me looking, got me looking so crazy in love

NOT RANDOM ✗

selected for inclusion in the sample due to convenience

Convenience Sample

Yes woo, ow It's so crazy right now Most incredibly, it's ya girl, B yes It's ya boy, Young You ready? Uh oh, uh oh, uh oh, oh, no, no ow Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no yeah History in the making Part two, it's so crazy right now I look and stare so deep in your eyes I touch on you more and more every time When you leave, I'm begging you not to go Call your name two, three times in a row Such a funny thing for me to try to explain How I'm feeling and my pride is the one to blame Yeah, yeah 'cause I know I don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy, your love's Got me looking, got me looking so crazy in love Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no When I talk to my friends so quietly Who he think he is? Look at what you did to me Tennis shoes, don't even need to buy a new dress If you ain't there, ain't nobody else to impress It's the way that you know what I thought I knew It's the beat that my heart skips when I'm with you But I still don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now so crazy Got me looking so crazy right now, your touch your love Got me looking so crazy right now love Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now hey Looking so crazy, your love's hey Got me looking, got me looking so crazy in love I'm looking so crazy in love's Got me looking, got me looking so crazy in love I'm warmed up now, let's go Young 'Hov, y'all know when the flow is loco Young B and the R-O-C, uh oh oh Ol' G, big homey, the one and only Stick bony, but the pocket is fat like Tony Soprano oh no The ROC handle like Van Axel I shake phonies, man, you can't get next to The genuine article, I do not sing though I sling though, if anything, I bling yo A star like Ringo, war like a Green Beret Crazy bring ya whole set Jay Z in the Range, crazy and deranged They can't figure him out, they like, "Hey, is he insane?" Yessir, I'm cut from a different cloth My texture is the best fur, chinchilla Uh oh, uh oh, uh oh, oh, no, no I been iller than chain smokers How you think I got the name Hova? Uh oh, uh oh, uh oh, oh, no, no I been realer, the game's over Uh oh, uh oh, uh oh, oh, no, no fall back, Young, ever since I made the change over Uh oh, uh oh, uh oh, oh, no, no to platinum the game's been wrap, one Got me looking so crazy, my baby I'm not myself, lately I'm foolish, I don't do this I've been playing myself, baby, I don't care 'Cause your love's got the best of me And, baby, you're making a fool of me You got me sprung and I don't care who sees 'Cause, baby, you got me Baby, you got me you got me so crazy, baby , hey Got me looking so crazy right now, your love's oh love Got me looking so crazy right now lookin' crazy Got me looking so crazy right now, your touch Got me looking so crazy right now baby Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now oh Looking so crazy in love's hey Got me looking, got me looking so crazy in love whoa Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy in love's Got me looking, got me looking so crazy in love

NOT RANDOM ✗

selected for inclusion in the sample due to convenience

Simple Random Sample

Yes woo, ow It's so crazy right now Most incredibly, it's ya girl, B yes It's ya boy, Young You ready? Uh oh, uh oh, uh oh, oh, no, no ow Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no yeah History in the making Part two, it's so crazy right now I look and stare so deep in your eyes I touch on you more and more every time When you leave, I'm begging you not to go Call your name two, three times in a row Such a funny thing for me to try to explain How I'm feeling and my pride is the one to blame Yeah, yeah 'cause I know I don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy, your love's Got me looking, got me looking so crazy in love Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no When I talk to my friends so quietly Who he think he is? Look at what you did to me Tennis shoes, don't even need to buy a new dress If you ain't there, ain't nobody else to impress It's the way that you know what I thought I knew It's the beat that my heart skips when I'm with you But I still don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now so crazy Got me looking so crazy right now, your touch your love Got me looking so crazy right now love Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now hey Looking so crazy, your love's hey Got me looking, got me looking so crazy in love I'm looking so crazy in love's Got me looking, got me looking so crazy in love I'm warmed up now, let's go Young 'Hov, y'all know when the flow is loco Young B and the R-O-C, uh oh oh Ol' G, big homey, the one and only Stick bony, but the pocket is fat like Tony Soprano oh no The ROC handle like Van Axel I shake phonies, man, you can't get next to The genuine article, I do not sing though I sling though, if anything, I bling yo A star like Ringo, war like a Green Beret Crazy bring ya whole set Jay Z in the Range, crazy and deranged They can't figure him out, they like, "Hey, is he insane?" Yessir, I'm cut from a different cloth My texture is the best fur, chinchilla Uh oh, uh oh, uh oh, oh, no, no I been iller than chain smokers How you think I got the name Hova? Uh oh, uh oh, uh oh, oh, no, no I been realer, the game's over Uh oh, uh oh, uh oh, oh, no, no fall back, Young, ever since I made the change over Uh oh, uh oh, uh oh, oh, no, no to platinum the game's been wrap, one Got me looking so crazy, my baby I'm not myself, lately I'm foolish, I don't do this I've been playing myself, baby, I don't care 'Cause your love's got the best of me And, baby, you're making a fool of me You got me sprung and I don't care who sees 'Cause, baby, you got me Baby, you got me you got me so crazy, baby , hey Got me looking so crazy right now, your love's oh love Got me looking so crazy right now lookin' crazy Got me looking so crazy right now, your touch Got me looking so crazy right now baby Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now oh Looking so crazy in love's hey Got me looking, got me looking so crazy in love whoa Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy in love's Got me looking, got me looking so crazy in love

RANDOM ✓

each member of the population has an equal probability of being chosen

Simple Random Sample

Yes woo, ow It's so crazy right now Most incredibly, it's ya girl, B yes It's ya boy, Young You ready? Uh oh, uh oh, uh oh, oh, no, no ow Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no yeah History in the making Part two, it's so crazy right now I look and stare so deep in your eyes I touch on you more and more every time When you leave, I'm begging you not to go Call your name two, three times in a row Such a funny thing for me to try to explain How I'm feeling and my pride is the one to blame Yeah, yeah 'cause I know I don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy, your love's Got me looking, got me looking so crazy in love Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no Uh oh, uh oh, uh oh, oh, no, no When I talk to my friends so quietly Who he think he is? Look at what you did to me Tennis shoes, don't even need to buy a new dress If you ain't there, ain't nobody else to impress It's the way that you know what I thought I knew It's the beat that my heart skips when I'm with you But I still don't understand Just how your love can do what no one else can Got me looking so crazy right now, your love's Got me looking so crazy right now so crazy Got me looking so crazy right now, your touch your love Got me looking so crazy right now love Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now hey Looking so crazy, your love's hey Got me looking, got me looking so crazy in love I'm looking so crazy in love's Got me looking, got me looking so crazy in love I'm warmed up now, let's go Young 'Hov, y'all know when the flow is loco Young B and the R-O-C, uh oh oh Ol' G, big homey, the one and only Stick bony, but the pocket is fat like Tony Soprano oh no The ROC handle like Van Axel I shake phonies, man, you can't get next to The genuine article, I do not sing though I sling though, if anything, I bling yo A star like Ringo, war like a Green Beret Crazy bring ya whole set Jay Z in the Range, crazy and deranged They can't figure him out, they like, "Hey, is he insane?" Yessir, I'm cut from a different cloth My texture is the best fur, chinchilla Uh oh, uh oh, uh oh, oh, no, no I been iller than chain smokers How you think I got the name Hova? Uh oh, uh oh, uh oh, oh, no, no I been realer, the game's over Uh oh, uh oh, uh oh, oh, no, no fall back, Young, ever since I made the change over Uh oh, uh oh, uh oh, oh, no, no to platinum the game's been wrap, one Got me looking so crazy, my baby I'm not myself, lately I'm foolish, I don't do this I've been playing myself, baby, I don't care 'Cause your love's got the best of me And, baby, you're making a fool of me You got me sprung and I don't care who sees 'Cause, baby, you got me Baby, you got me you got me so crazy, baby , hey Got me looking so crazy right now, your love's oh love Got me looking so crazy right now lookin' crazy Got me looking so crazy right now, your touch Got me looking so crazy right now baby Got me hoping you'll page me right now, your kiss hey Got me hoping you'll save me right now oh Looking so crazy in love's hey Got me looking, got me looking so crazy in love whoa Got me looking so crazy right now, your love's Got me looking so crazy right now your love Got me looking so crazy right now, your touch Got me looking so crazy right now your touch Got me hoping you'll page me right now, your kiss Got me hoping you'll save me right now Looking so crazy in love's Got me looking, got me looking so crazy in love

RANDOM ✓

each member of the population has an equal probability of being chosen

Big Ideas

• Describe how to select a sample using
• stratified random sampling
• cluster sampling
• systematic sampling with random start
• Distinguish stratified random sampling from cluster sampling, and give an advantage of each method.

Random Selection

Everything in the population has an equal probability of being chosen

Leader for today:

​

Biggest Taylor Swift Fan

Here’s the venue (sort of)

Group Leader: Biggest Fan

• Lead a discussion in which everyone shares which method they think will give the most accurate representation of how much the population of fans enjoyed the concert.
• Make them justify why they think that will be the best one
• 1 minute per person

Simple Random Sample (SRS)

1. List the population.
2. Number everyone from 1 to N.
3. Choose your sample size (n).
4. Randomly select the sample (use a random number generator to select n unique random digits between 1 and the population total or pick from mixed up names in a hat, etc.)
5. Gather the sample based on the random digits.

Systematic Sampling with Random Start

1. List/define the population.
2. Determine a sample size.
3. Randomly select a beginning number.
4. Calculate the selection interval

(population size ÷ sample size)

• Gather a sample based on the interval number.

Stratified Random Sample

1. List/define the population.
2. Define the categories in the population. Everyone in the group should have similar characteristics for what is being surveyed.
3. Choose your sample size.
4. Perform an SRS for EACH group.

Cluster Sample

1. List/define the population.
2. Divide the population into clusters so that each cluster is similar to the other clusters regarding the characteristics that are being surveyed.
3. Number the clusters and perform a SRS to select one (or more) cluster(s) from the population.
4. Sample all individuals in the selected cluster(s).

Group Leader: Biggest Fan

• Lead a discussion in which everyone shares which method they think will give the most accurate representation of how much the population of fans enjoyed the concert.
• Make them justify why they think that will be the best one
• 1 minute per person

SRS

Systematic

Stratified

Cluster

Simple Random Sample (SRS)

• List the population.
• Choose your sample size (n).
• Use a random number generator (or names in a hat, etc.) to select n unique random digits between 1 and the population total.
• Gather the sample based on the random digits.

Systematic Sampling with Random Start

• List/define the population.
• Determine a sample size.
• Randomly select a beginning number.
• Calculate the selection interval

(population size ÷ sample size)

• Gather a sample based on the interval number.

Stratified Random Sample

• List/define the population.
• Define the categories in the population. Everyone in the group should have similar characteristics for what is being surveyed.
• Choose your sample size.
• Perform an SRS for EACH group.

Cluster Sample

• List/define the population.
• Divide the population into clusters so that each cluster is similar to the other clusters regarding the characteristics that are being surveyed.
• Number the clusters and perform a SRS to select one (or more) cluster(s) from the population.
• Sample all individuals in the selected cluster(s).

Once You Have Your Seats

• Poke a hole through their seat number to find the audience member rating
• Find the average enjoyment for each method using the ratings on the back
• Enter your six averages in Class Data spreadsheet

Group Leader: Biggest Fan

Which of the methods was closest to the population average of 78.38 for each of your group mates?

Was this what you expected?

EVERYONE: Prepare the anti-fan to share out for the group.

Why does this make sense statistically?

Tablemates: “Anti-fan” goes first

ALMOND+PECAN STRATA

What’s a benefit and drawback of each?

Tablemates: Super fan goes first

ALMOND+PECAN STRATA

Compare the Box Plots

Big Ideas

• Describe how to select a sample using
• stratified random sampling
• cluster sampling
• systematic sampling with random start
• Distinguish stratified random sampling from cluster sampling, and give an advantage of each method.