JSON Facet API
Facet & Analytics Module
The JSON Faceting module exposes similar functionality to Solr’s traditional faceting module but with a stronger emphasis on usability. It has several benefits over traditional faceting:
- easier programmatic construction of complex or nested facets
- the nesting and structure offered by JSON makes facets easier to read and understand than the flat namespace of the traditional faceting API.
- first class support for metrics and analytics
- more standardized response format makes responses easier for clients to parse and use
Faceted Search
Faceted search is about aggregating data and calculating metrics about that data.
There are two main types of facets:
- Facets that partition or categorize data (the domain) into multiple buckets
- Facets that calculate data for a given bucket (normally a metric, statistic or analytic function)
Bucketing Facet Example
Here’s an example of a bucketing facet, that partitions documents into bucket based on the cat
field (short for category), and returns the top 3 buckets:
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"categories" : {
"type": "terms",
"field": "cat",
"limit": 3
}
}
}'
SolrJ
final TermsFacetMap categoryFacet = new TermsFacetMap("cat").setLimit(3);
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("categories", categoryFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
The response below shows us that 32 documents match the default root domain. and 12 documents have cat:electronics
, 4 documents have cat:currency
, etc.
[...]
"facets":{
"count":32,
"categories":{
"buckets":[{
"val":"electronics",
"count":12},
{
"val":"currency",
"count":4},
{
"val":"memory",
"count":3},
]
}
}
Stat Facet Example
Stat (also called aggregation
or analytic
) facets are useful for displaying information derived from query results, in addition to those results themselves. For example, stat facets can be used to provide context to users on an e-commerce site looking for memory. The example below computes the average price (and other statistics) and would allow a user to gauge whether the memory stick in their cart is a good price.
curl
curl http://localhost:8983/solr/techproducts/query -d '
q=memory&
fq=inStock:true&
json.facet={
"avg_price" : "avg(price)",
"num_suppliers" : "unique(manu_exact)",
"median_weight" : "percentile(weight,50)"
}'
SolrJ
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("memory")
.withFilter("inStock:true")
.withStatFacet("avg_price", "avg(price)")
.withStatFacet("min_manufacturedate_dt", "min(manufacturedate_dt)")
.withStatFacet("num_suppliers", "unique(manu_exact)")
.withStatFacet("median_weight", "percentile(weight,50)");
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
The response to the facet request above will start with documents matching the root domain (docs containing "memory" with inStock:true) followed by the requested statistics in a facets
block:
"facets" : {
"count" : 4,
"avg_price" : 109.9950008392334,
"num_suppliers" : 3,
"median_weight" : 352.0
}
Types of Facets
There are 4 different types of bucketing facets, which behave in two different ways:
- "terms" and "range" facets produce multiple buckets and assign each document in the domain into one (or more) of these buckets
- "query" and "heatmap" facets always produce a single bucket which all documents in the domain belong to
Each of these facet-types are covered in detail below.
Terms Facet
A terms
facet buckets the domain based on the unique values in a field.
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
categories:{
"type": "terms",
"field" : "cat",
"limit" : 5
}
}
}'
SolrJ
final TermsFacetMap categoryFacet = new TermsFacetMap("cat").setLimit(5);
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("categories", categoryFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
Parameter | Description |
---|---|
field | The field name to facet over. |
offset | Used for paging, this skips the first N buckets. Defaults to 0. |
limit | Limits the number of buckets returned. Defaults to 10. |
sort | Specifies how to sort the buckets produced. “count” specifies document count, “index” sorts by the index (natural) order of the bucket value. One can also sort by any facet function / statistic that occurs in the bucket. The default is “count desc”. This parameter may also be specified in JSON like |
overrequest | Number of buckets beyond the Larger values can increase the accuracy of the final "Top Terms" returned when the individual shards have very diff top terms. The default of |
refine | If true , turns on distributed facet refining. This uses a second phase to retrieve any buckets needed for the final result from shards that did not include those buckets in their initial internal results, so that every shard contributes to every returned bucket in this facet and any sub-facets. This makes counts & stats for returned buckets exact. |
overrefine | Number of buckets beyond the Larger values can increase the accuracy of the final "Top Terms" returned when the individual shards have very diff top terms, and the current The default of |
mincount | Only return buckets with a count of at least this number. Defaults to 1. |
missing | A boolean that specifies if a special “missing” bucket should be returned that is defined by documents without a value in the field. Defaults to false. |
numBuckets | A boolean. If true, adds “numBuckets” to the response, an integer representing the number of buckets for the facet (as opposed to the number of buckets returned). Defaults to false. |
allBuckets | A boolean. If true, adds an “allBuckets” bucket to the response, representing the union of all of the buckets. For multi-valued fields, this is different than a bucket for all of the documents in the domain since a single document can belong to multiple buckets. Defaults to false. |
prefix | Only produce buckets for terms starting with the specified prefix. |
facet | Aggregations, metrics or nested facets that will be calculated for every returned bucket |
method | This parameter indicates the facet algorithm to use:
|
prelim_sort | An optional parameter for specifying an approximation of the final sort to use during initial collection of top buckets when the sort parameter is very costly. |
Query Facet
The query facet produces a single bucket of documents that match the domain as well as the specified query.
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"high_popularity": {
"type": "query",
"q": "popularity:[8 TO 10]"
}
}
}'
SolrJ
QueryFacetMap queryFacet = new QueryFacetMap("popularity:[8 TO 10]");
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("high_popularity", queryFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
Users may also specify sub-facets (either "bucketing" facets or metrics):
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"high_popularity": {
"type": "query",
"q": "popularity:[8 TO 10]",
"facet" : {
"average_price" : "avg(price)"
}
}
}
}'
SolrJ
QueryFacetMap queryFacet = new QueryFacetMap("popularity:[8 TO 10]")
.withStatSubFacet("average_price", "avg(price)");
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("high_popularity", queryFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
Example response:
"high_popularity" : {
"count" : 36,
"average_price" : 36.75
}
Range Facet
The range facet produces multiple buckets over a date or numeric field.
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"prices": {
"type": "range",
"field": "price",
"start": 0,
"end": 100,
"gap": 20
}
}
}'
SolrJ
RangeFacetMap rangeFacet = new RangeFacetMap("price", 0.0, 100.0, 20.0);
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("prices", rangeFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
The output from the range facet above would look a bit like:
"prices":{
"buckets":[
{
"val":0.0, // the bucket value represents the start of each range. This bucket covers 0-20
"count":5},
{
"val":20.0,
"count":0},
{
"val":40.0,
"count":0},
{
"val":60.0,
"count":1},
{
"val":80.0,
"count":1}
]
}
Range Facet Parameters
Range facet parameter names and semantics largely mirror facet.range query-parameter style faceting. For example "start" here corresponds to "facet.range.start" in a facet.range command.
Parameter | Description |
---|---|
field | The numeric field or date field to produce range buckets from. |
start | Lower bound of the ranges. |
end | Upper bound of the ranges. |
gap | Size of each range bucket produced. |
hardend | A boolean, which if true means that the last bucket will end at “end” even if it is less than “gap” wide. If false, the last bucket will be “gap” wide, which may extend past “end”. |
other | This parameter indicates that in addition to the counts for each range constraint between
|
include | By default, the ranges used to compute range faceting between
|
facet | Aggregations, metrics, or nested facets that will be calculated for every returned bucket |
ranges | List of arbitrary range when specified calculates facet on given ranges rather than
Refer Arbitrary Range |
Arbitrary Range
An arbitrary range consists of from and to values over which range bucket is computed. This range can be specified in two syntax.
Parameter | Description |
---|---|
from | The lower bound of the range. When not specified defaults to * . |
to | The upper bound of the range. When not specified defaults to * . |
inclusive_from | A boolean, which if true means that include the lower bound from . This defaults to true . |
inclusive_to | A boolean, which if true means that include the upper bound to . This default to false . |
range | The range is specified as string. This is semantically similar to
For example, For range |
other with ranges
other
parameter is ignored when ranges
is specified but there are ways to achieve same behavior with ranges
.
before
- This is equivalent to[*,some_val)
or just specifyingto
valueafter
- This is equivalent to(som_val, *]
or just specifyingfrom
valuebetween
- This is equivalent to specifyingstart
,end
asfrom
andto
respectively
include with ranges
include
parameter is ignored when ranges
is specified but there are ways to achieve same behavior with ranges
. lower
, upper
, outer
, edge
all can be achieved using combination of inclusive_to
and inclusive_from
.
Range facet with ranges
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"prices": {
"type": "range",
"field": "price",
"ranges": [
{
"from": 0,
"to": 20,
"inclusive_from": true,
"inclusive_to": false
},
{
"range": "[40,100)"
}
]
}
}
}'
The output from the range facet above would look a bit like:
{
"prices": {
"buckets": [
{
"val": "[0,20)",
"count": 5
},
{
"val": "[40,100)",
"count": 2
}
]
}
}
When range is specified, its value in the request is used as key in the response. In the other case, key is generated using from , to , inclusive_to and inclusive_from . Currently, custom key is not supported.
|
Heatmap Facet
The heatmap
facet generates a 2D grid of facet counts for documents having spatial data in each grid cell.
This feature is primarily documented in the spatial section of the reference guide.
The key parameters are type
to specify heatmap
and field
to indicate a spatial RPT field.
The rest of the parameter names use the same names and semantics mirroring
facet.heatmap query-parameter style faceting, albeit without the "facet.heatmap." prefix.
For example geom
here corresponds to facet.heatmap.geom
in a facet.heatmap command.
Unlike other facets that partition the domain into buckets, heatmap facets do not currently support Nested Facets.
|
curl
curl http://localhost:8983/solr/spatialdata/query -d '
{
"query": "*:*",
"facet": {
"locations": {
"type": "heatmap",
"field": "location_srpt",
"geom": "[\"50 20\" TO \"180 90\"]",
"gridLevel": 4
}
}
}'
SolrJ
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.setLimit(0)
.withFacet("locations", new HeatmapFacetMap("location_srpt")
.setHeatmapFormat(HeatmapFacetMap.HeatmapFormat.INTS2D)
.setRegionQuery("[\"50 20\" TO \"180 90\"]")
.setGridLevel(4)
);
And the facet response will look like:
{
"facets": {
"locations":{
"gridLevel":1,
"columns":6,
"rows":4,
"minX":-180.0,
"maxX":90.0,
"minY":-90.0,
"maxY":90.0,
"counts_ints2D":[[68,1270,459,5359,39456,1713],[123,10472,13620,7777,18376,6239],[88,6,3898,989,1314,255],[0,0,30,1,0,1]]
}
}
}
Stat Facet Functions
Unlike all the facets discussed so far, Aggregation functions (also called facet functions, analytic functions, or metrics) do not partition data into buckets. Instead, they calculate something over all the documents in the domain.
Aggregation | Example | Description |
---|---|---|
sum | sum(sales) | summation of numeric values |
avg | avg(popularity) | average of numeric values |
min | min(salary) | minimum value |
max | max(mul(price,popularity)) | maximum value |
missing | missing(author) | number of documents which do not have value for given field or function |
countvals | countvals(author) | number of values for a given field or function |
unique | unique(author) | number of unique values of the given field. Beyond 100 values it yields not exact estimate |
uniqueBlock | uniqueBlock(_root_) or uniqueBlock($fldref) where fldref=root | same as above with smaller footprint strictly for counting the number of Block Join blocks. The given field must be unique across blocks, and only singlevalued string fields are supported, docValues are recommended. |
uniqueBlock({!v=type:parent}) or uniqueBlock({!v=$qryref}) where qryref=type:parent | same as above, but using bitset of the given query to aggregate hits. | |
hll | hll(author) | distributed cardinality estimate via hyper-log-log algorithm |
percentile | percentile(salary,50,75,99,99.9) | Percentile estimates via t-digest algorithm. When sorting by this metric, the first percentile listed is used as the sort value. |
sumsq | sumsq(rent) | sum of squares of field or function |
variance | variance(rent) | variance of numeric field or function |
stddev | stddev(rent) | standard deviation of field or function |
relatedness | relatedness('popularity:[100 TO *]','inStock:true') | A function for computing a relatedness score of the documents in the domain to a Foreground set, relative to a Background set (both defined as queries). This is primarily for use when building Semantic Knowledge Graphs. |
Numeric aggregation functions such as avg
can be on any numeric field, or on a nested function of multiple numeric fields such as avg(div(popularity,price))
.
The most common way of requesting an aggregation function is as a simple String containing the expression you wish to compute:
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"filter": [
"price:[1.0 TO *]",
"popularity:[0 TO 10]"
],
"facet": {
"avg_value": "avg(div(popularity,price))"
}
}'
SolrJ
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFilter("price:[1.0 TO *]")
.withFilter("popularity:[0 TO 10]")
.withStatFacet("min_manu_id_s", "min(manu_id_s)")
.withStatFacet("avg_value", "avg(div(popularity,price))");
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
An expanded form allows for Local Parameters to be specified. These may be used explicitly by some specialized aggregations such as relatedness()
, but can also be used as parameter references to make aggregation expressions more readable, with out needing to use (global) request parameters:
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"filter": [
"price:[1.0 TO *]",
"popularity:[0 TO 10]"
],
"facet": {
"avg_value" : {
"type": "func",
"func": "avg(div($numer,$denom))",
"numer": "mul(popularity,3.0)",
"denom": "price"
}
}
}'
SolrJ
final Map<String, Object> expandedStatFacet = new HashMap<>();
expandedStatFacet.put("type", "func");
expandedStatFacet.put("func", "avg(div($numer,$denom))");
expandedStatFacet.put("numer", "mul(popularity,3.0)");
expandedStatFacet.put("denom", "price");
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFilter("price:[1.0 TO *]")
.withFilter("popularity:[0 TO 10]")
.withFacet("avg_value", expandedStatFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
Nested Facets
Nested facets, or sub-facets, allow one to nest facet commands under any facet command that partitions the domain into buckets (i.e., terms
, range
, query
). These sub-facets are then evaluated against the domains defined by the set of all documents in each bucket of their parent.
The syntax is identical to top-level facets - just add a facet
command to the facet command block of the parent facet. Technically, every facet command is actually a sub-facet since we start off with a single facet bucket with a domain defined by the main query and filters.
Nested Facet Example
Let’s start off with a simple non-nested terms facet on the category field cat
:
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"categories": {
"type": "terms",
"field": "cat",
"limit": 3
}
}
}'
SolrJ
final TermsFacetMap categoryFacet = new TermsFacetMap("cat").setLimit(3);
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("categories", categoryFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
The response for the facet above will show the top category and the number of documents that falls into each category bucket. Nested facets can be used to gather additional information about each bucket of documents. For example, using the nested facet below, we can find the top categories as well as who the leading manufacturer is in each category:
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"categories": {
"type": "terms",
"field": "cat",
"limit": 3,
"facet": {
"top_manufacturer": {
"type": "terms",
"field": "manu_id_s",
"limit": 1
}
}
}
}
}'
SolrJ
final TermsFacetMap topCategoriesFacet = new TermsFacetMap("cat").setLimit(3);
final TermsFacetMap topManufacturerFacet = new TermsFacetMap("manu_id_s").setLimit(1);
topCategoriesFacet.withSubFacet("top_manufacturers", topManufacturerFacet);
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("categories", topCategoriesFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
And the response will look something like:
"facets":{
"count":32,
"categories":{
"buckets":[{
"val":"electronics",
"count":12,
"top_manufacturer":{
"buckets":[{
"val":"corsair",
"count":3}]}},
{
"val":"currency",
"count":4,
"top_manufacturer":{
"buckets":[{
"val":"boa",
"count":1}]}}]}}
Sorting Facets By Nested Functions
The default sort for a field or terms facet is by bucket count descending. We can optionally sort
ascending or descending by any facet function that appears in each bucket.
curl
curl http://localhost:8983/solr/techproducts/query -d '
{
"query": "*:*",
"facet": {
"categories":{
"type" : "terms", // terms facet creates a bucket for each indexed term in the field
"field" : "cat",
"limit": 3,
"sort" : "avg_price desc",
"facet" : {
"avg_price" : "avg(price)",
}
}
}
}'
SolrJ
final TermsFacetMap topCategoriesFacet = new TermsFacetMap("cat")
.setLimit(3)
.withStatSubFacet("avg_price", "avg(price)")
.setSort("avg_price desc");
final JsonQueryRequest request = new JsonQueryRequest()
.setQuery("*:*")
.withFacet("categories", topCategoriesFacet);
QueryResponse queryResponse = request.process(solrClient, COLLECTION_NAME);
In some situations the desired sort
may be an aggregation function that is very costly to compute for every bucket. A prelim_sort
option can be used to specify an approximation of the sort
, for initially ranking the buckets to determine the top candidates (based on the limit
and overrequest
). Only after the top candidate buckets have been refined, will the actual sort
be used.
{
categories:{
type : terms,
field : cat,
refine: true,
limit: 10,
overrequest: 100,
prelim_sort: "sales_rank desc",
sort : "prod_quality desc",
facet : {
prod_quality : "avg(div(prod(rating,sales_rank),prod(num_returns,price)))"
sales_rank : "sum(sales_rank)"
}
}
}
Changing the Domain
As discussed above, facets compute buckets or statistics based on their "domain" of documents.
- By default, top-level facets use the set of all documents matching the main query as their domain.
- Nested "sub-facets" are computed for every bucket of their parent facet, using a domain containing all documents in that bucket.
In addition to this default behavior, domains can be also be widened, narrowed, or changed entirely. The JSON Faceting API supports modifying domains through its domain
property. This is discussed in more detail here
Special Stat Facet Functions
Most stat facet functions (avg
, sumsq
, etc.) allow users to perform math computations on groups of documents. A few functions are more involved though, and deserve an explanation of their own. These are described in more detail in the sections below.
uniqueBlock() and Block Join Counts
When a collection contains Nested Documents, the blockChildren
and blockParent
domain changes can be useful when searching for parent documents and you want to compute stats against all of the affected children documents (or vice versa).
But if you only need to know the count of all the blocks that exist in the current domain, a more efficient option is the uniqueBlock()
aggregate function.
Suppose we have products with multiple SKUs, and we want to count products for each color.
{
"id": "1", "type": "product", "name": "Solr T-Shirt",
"_childDocuments_": [
{ "id": "11", "type": "SKU", "color": "Red", "size": "L" },
{ "id": "12", "type": "SKU", "color": "Blue", "size": "L" },
{ "id": "13", "type": "SKU", "color": "Red", "size": "M" }
]
},
{
"id": "2", "type": "product", "name": "Solr T-Shirt",
"_childDocuments_": [
{ "id": "21", "type": "SKU", "color": "Blue", "size": "S" }
]
}
When searching against a set of SKU documents, we can ask for a facet on color, with a nested statistic counting all the "blocks" — aka: products:
color: {
type: terms,
field: color,
limit: -1,
facet: {
productsCount: "uniqueBlock(_root_)"
// or "uniqueBlock({!v=type:product})"
}
}
and get:
color:{
buckets:[
{ val:Blue, count:2, productsCount:2 },
{ val:Red, count:2, productsCount:1 }
]
}
Please notice that _root_
is an internal field added by Lucene to each child document to reference on parent one.
Aggregation uniqueBlock(_root_)
is functionally equivalent to unique(_root_)
, but is optimized for nested documents block structure.
It’s recommended to define limit: -1
for uniqueBlock
calculation, like in above example,
since default value of limit
parameter is 10
, while uniqueBlock
is supposed to be much faster with -1
.
relatedness() and Semantic Knowledge Graphs
The relatedness(…)
stat function allows for sets of documents to be scored relative to Foreground and Background sets of documents, for the purposes of finding ad-hoc relationships that make up a "Semantic Knowledge Graph":
At its heart, the Semantic Knowledge Graph leverages an inverted index, along with a complementary uninverted index, to represent nodes (terms) and edges (the documents within intersecting postings lists for multiple terms/nodes). This provides a layer of indirection between each pair of nodes and their corresponding edge, enabling edges to materialize dynamically from underlying corpus statistics. As a result, any combination of nodes can have edges to any other nodes materialize and be scored to reveal latent relationships between the nodes.
The relatedness(…)
function is used to "score" these relationships, relative to "Foreground" and "Background" sets of documents, specified in the function params as queries.
Unlike most aggregation functions, the relatedness(…)
function is aware of whether and how it’s used in Nested Facets. It evaluates the query defining the current bucket independently from its parent/ancestor buckets, and intersects those documents with a "Foreground Set" defined by the foreground query combined with the ancestor buckets. The result is then compared to a similar intersection done against the "Background Set" (defined exclusively by background query) to see if there is a positive, or negative, correlation between the current bucket and the Foreground Set, relative to the Background Set.
While it’s very common to define the Background Set as *:* , or some other super-set of the Foreground Query, it is not strictly required. The relatedness(…) function can be used to compare the statistical relatedness of sets of documents to orthogonal foreground/background queries.
|
relatedness() Options
When using the extended type:func
syntax for specifying a relatedness()
aggregation, an optional min_popularity
(float) option can be used to specify a lower bound on the foreground_popularity
and background_popularity
values, that must be met in order for the relatedness
score to be valid — If this min_popularity
is not met, then the relatedness
score will be -Infinity
.
{ "type": "func",
"func": "relatedness($fore,$back)",
"min_popularity": 0.001,
}
This can be particularly useful when using a descending sorting on relatedness()
with foreground and background queries that are disjoint, to ensure the "top buckets" are all relevant to both sets.
When sorting on |
Semantic Knowledge Graph Example
1 | Use the entire collection as our "Background Set" |
2 | Use a query for "age >= 35" to define our (initial) "Foreground Set" |
3 | For both the top level hobbies facet & the sub-facet on state we will be sorting on the relatedness(…) values |
4 | In both calls to the relatedness(…) function, we use Parameter Variables to refer to the previously defined fore and back queries. |
1 | Even though hobbies:golf has a lower total facet count then hobbies:painting , it has a higher relatedness score, indicating that relative to the Background Set (the entire collection) Golf has a stronger correlation to our Foreground Set (people age 35+) then Painting. |
2 | The number of documents matching age:[35 TO *] and hobbies:golf is 31.25% of the total number of documents in the Background Set |
3 | 37.5% of the documents in the Background Set match hobbies:golf |
4 | The state of Arizona (AZ) has a positive relatedness correlation with the nested Foreground Set (people ages 35+ who play Golf) compared to the Background Set — i.e., "People in Arizona are statistically more likely to be '35+ year old Golfers' then the country as a whole." |
5 | The state of Colorado (CO) has a negative correlation with the nested Foreground Set — i.e., "People in Colorado are statistically less likely to be '35+ year old Golfers' then the country as a whole." |
6 | The number documents matching age:[35 TO *] and hobbies:golf and state:AZ is 18.75% of the total number of documents in the Background Set |
7 | 50% of the documents in the Background Set match state:AZ |